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Finding the Fourth Proportional to 565,540.83, 780,461.28 and 307,435.14

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Solution

The fourth proportional to 565,540.83, 780,461.28 and 307,435.14 is: 424,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,540.83 : 780,461.28 = 307,435.14 : x
  2. Step 2: Convert to fraction form
    565,540.83/780,461.28 = 307,435.14/x
  3. Step 3: Cross multiply
    565,540.83x = 780,461.28 × 307,435.14
  4. Step 4: Simplify right side
    565,540.83x = 239,941,222,881.38
  5. Step 5: Solve for x
    x = 239,941,222,881.38/565,540.83
  6. Step 6: Final answer
    x = 424,268.61

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.