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Finding the Fourth Proportional to 432,286.92, 648,215.85 and 147,897

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Solution

The fourth proportional to 432,286.92, 648,215.85 and 147,897 is: 221,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,286.92 : 648,215.85 = 147,897 : x
  2. Step 2: Convert to fraction form
    432,286.92/648,215.85 = 147,897/x
  3. Step 3: Cross multiply
    432,286.92x = 648,215.85 × 147,897
  4. Step 4: Simplify right side
    432,286.92x = 95,869,179,567.45
  5. Step 5: Solve for x
    x = 95,869,179,567.45/432,286.92
  6. Step 6: Final answer
    x = 221,772.10

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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.