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Finding the Fourth Proportional to 287,530.30, 431,425.05 and 137,712.70

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Solution

The fourth proportional to 287,530.30, 431,425.05 and 137,712.70 is: 206,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,530.30 : 431,425.05 = 137,712.70 : x
  2. Step 2: Convert to fraction form
    287,530.30/431,425.05 = 137,712.70/x
  3. Step 3: Cross multiply
    287,530.30x = 431,425.05 × 137,712.70
  4. Step 4: Simplify right side
    287,530.30x = 59,412,708,483.14
  5. Step 5: Solve for x
    x = 59,412,708,483.14/287,530.30
  6. Step 6: Final answer
    x = 206,631.12

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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.