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Finding the Fourth Proportional to 287,456.28, 431,025.66 and 133,414.32

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Solution

The fourth proportional to 287,456.28, 431,025.66 and 133,414.32 is: 200,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,456.28 : 431,025.66 = 133,414.32 : x
  2. Step 2: Convert to fraction form
    287,456.28/431,025.66 = 133,414.32/x
  3. Step 3: Cross multiply
    287,456.28x = 431,025.66 × 133,414.32
  4. Step 4: Simplify right side
    287,456.28x = 57,504,995,331.45
  5. Step 5: Solve for x
    x = 57,504,995,331.45/287,456.28
  6. Step 6: Final answer
    x = 200,047.80

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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.