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Finding the Fourth Proportional to 485,726.40, 728,416.80 and 219,614.40

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Solution

The fourth proportional to 485,726.40, 728,416.80 and 219,614.40 is: 329,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,726.40 : 728,416.80 = 219,614.40 : x
  2. Step 2: Convert to fraction form
    485,726.40/728,416.80 = 219,614.40/x
  3. Step 3: Cross multiply
    485,726.40x = 728,416.80 × 219,614.40
  4. Step 4: Simplify right side
    485,726.40x = 159,970,818,481.92
  5. Step 5: Solve for x
    x = 159,970,818,481.92/485,726.40
  6. Step 6: Final answer
    x = 329,343.47

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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.