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Finding the Fourth Proportional to 422,484.68, 582,810.78 and 286,472.60

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Solution

The fourth proportional to 422,484.68, 582,810.78 and 286,472.60 is: 395,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,484.68 : 582,810.78 = 286,472.60 : x
  2. Step 2: Convert to fraction form
    422,484.68/582,810.78 = 286,472.60/x
  3. Step 3: Cross multiply
    422,484.68x = 582,810.78 × 286,472.60
  4. Step 4: Simplify right side
    422,484.68x = 166,959,319,454.63
  5. Step 5: Solve for x
    x = 166,959,319,454.63/422,484.68
  6. Step 6: Final answer
    x = 395,184.32

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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.