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Finding the Fourth Proportional to 432,385.83, 647,867.08 and 147,920.87

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Solution

The fourth proportional to 432,385.83, 647,867.08 and 147,920.87 is: 221,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,385.83 : 647,867.08 = 147,920.87 : x
  2. Step 2: Convert to fraction form
    432,385.83/647,867.08 = 147,920.87/x
  3. Step 3: Cross multiply
    432,385.83x = 647,867.08 × 147,920.87
  4. Step 4: Simplify right side
    432,385.83x = 95,833,063,367.83
  5. Step 5: Solve for x
    x = 95,833,063,367.83/432,385.83
  6. Step 6: Final answer
    x = 221,637.84

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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.