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Finding the Fourth Proportional to 432,086.20, 648,129.30 and 272,653.90

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Solution

The fourth proportional to 432,086.20, 648,129.30 and 272,653.90 is: 408,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,086.20 : 648,129.30 = 272,653.90 : x
  2. Step 2: Convert to fraction form
    432,086.20/648,129.30 = 272,653.90/x
  3. Step 3: Cross multiply
    432,086.20x = 648,129.30 × 272,653.90
  4. Step 4: Simplify right side
    432,086.20x = 176,714,981,349.27
  5. Step 5: Solve for x
    x = 176,714,981,349.27/432,086.20
  6. Step 6: Final answer
    x = 408,980.85

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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.