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Finding the Fourth Proportional to 432,083.20, 648,124.80 and 272,650.90

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Solution

The fourth proportional to 432,083.20, 648,124.80 and 272,650.90 is: 408,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,083.20 : 648,124.80 = 272,650.90 : x
  2. Step 2: Convert to fraction form
    432,083.20/648,124.80 = 272,650.90/x
  3. Step 3: Cross multiply
    432,083.20x = 648,124.80 × 272,650.90
  4. Step 4: Simplify right side
    432,083.20x = 176,711,810,032.32
  5. Step 5: Solve for x
    x = 176,711,810,032.32/432,083.20
  6. Step 6: Final answer
    x = 408,976.35

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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.