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Finding the Fourth Proportional to 432,068.30, 648,102.45 and 413,405.90

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Solution

The fourth proportional to 432,068.30, 648,102.45 and 413,405.90 is: 620,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,068.30 : 648,102.45 = 413,405.90 : x
  2. Step 2: Convert to fraction form
    432,068.30/648,102.45 = 413,405.90/x
  3. Step 3: Cross multiply
    432,068.30x = 648,102.45 × 413,405.90
  4. Step 4: Simplify right side
    432,068.30x = 267,929,376,634.46
  5. Step 5: Solve for x
    x = 267,929,376,634.46/432,068.30
  6. Step 6: Final answer
    x = 620,108.85

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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.