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Finding the Fourth Proportional to 520,078.10, 780,117.15 and 431,431.70

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Solution

The fourth proportional to 520,078.10, 780,117.15 and 431,431.70 is: 647,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,078.10 : 780,117.15 = 431,431.70 : x
  2. Step 2: Convert to fraction form
    520,078.10/780,117.15 = 431,431.70/x
  3. Step 3: Cross multiply
    520,078.10x = 780,117.15 × 431,431.70
  4. Step 4: Simplify right side
    520,078.10x = 336,567,268,223.66
  5. Step 5: Solve for x
    x = 336,567,268,223.66/520,078.10
  6. Step 6: Final answer
    x = 647,147.55

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.