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Finding the Fourth Proportional to 287,715.30, 431,572.95 and 147,747.30

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Solution

The fourth proportional to 287,715.30, 431,572.95 and 147,747.30 is: 221,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,715.30 : 431,572.95 = 147,747.30 : x
  2. Step 2: Convert to fraction form
    287,715.30/431,572.95 = 147,747.30/x
  3. Step 3: Cross multiply
    287,715.30x = 431,572.95 × 147,747.30
  4. Step 4: Simplify right side
    287,715.30x = 63,763,738,115.54
  5. Step 5: Solve for x
    x = 63,763,738,115.54/287,715.30
  6. Step 6: Final answer
    x = 221,620.95

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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.