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Finding the Fourth Proportional to 287,992.74, 431,972.95 and 88,312.58

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Solution

The fourth proportional to 287,992.74, 431,972.95 and 88,312.58 is: 132,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,992.74 : 431,972.95 = 88,312.58 : x
  2. Step 2: Convert to fraction form
    287,992.74/431,972.95 = 88,312.58/x
  3. Step 3: Cross multiply
    287,992.74x = 431,972.95 × 88,312.58
  4. Step 4: Simplify right side
    287,992.74x = 38,148,645,109.55
  5. Step 5: Solve for x
    x = 38,148,645,109.55/287,992.74
  6. Step 6: Final answer
    x = 132,463.91

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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.