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Finding the Fourth Proportional to 287,532.30, 431,428.05 and 137,714.70

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Solution

The fourth proportional to 287,532.30, 431,428.05 and 137,714.70 is: 206,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,532.30 : 431,428.05 = 137,714.70 : x
  2. Step 2: Convert to fraction form
    287,532.30/431,428.05 = 137,714.70/x
  3. Step 3: Cross multiply
    287,532.30x = 431,428.05 × 137,714.70
  4. Step 4: Simplify right side
    287,532.30x = 59,413,984,477.34
  5. Step 5: Solve for x
    x = 59,413,984,477.34/287,532.30
  6. Step 6: Final answer
    x = 206,634.12

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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.