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Finding the Fourth Proportional to 287,461.28, 431,287.89 and 127,515.15

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Solution

The fourth proportional to 287,461.28, 431,287.89 and 127,515.15 is: 191,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,461.28 : 431,287.89 = 127,515.15 : x
  2. Step 2: Convert to fraction form
    287,461.28/431,287.89 = 127,515.15/x
  3. Step 3: Cross multiply
    287,461.28x = 431,287.89 × 127,515.15
  4. Step 4: Simplify right side
    287,461.28x = 54,995,739,348.96
  5. Step 5: Solve for x
    x = 54,995,739,348.96/287,461.28
  6. Step 6: Final answer
    x = 191,315.29

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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.