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Finding the Fourth Proportional to 287,499, 430,678.04 and 135,487.92

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Solution

The fourth proportional to 287,499, 430,678.04 and 135,487.92 is: 202,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,499 : 430,678.04 = 135,487.92 : x
  2. Step 2: Convert to fraction form
    287,499/430,678.04 = 135,487.92/x
  3. Step 3: Cross multiply
    287,499x = 430,678.04 × 135,487.92
  4. Step 4: Simplify right side
    287,499x = 58,351,671,829.28
  5. Step 5: Solve for x
    x = 58,351,671,829.28/287,499
  6. Step 6: Final answer
    x = 202,963.04

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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.