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Finding the Fourth Proportional to 478,471.29, 717,683.09 and 178,929.85

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Solution

The fourth proportional to 478,471.29, 717,683.09 and 178,929.85 is: 268,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,471.29 : 717,683.09 = 178,929.85 : x
  2. Step 2: Convert to fraction form
    478,471.29/717,683.09 = 178,929.85/x
  3. Step 3: Cross multiply
    478,471.29x = 717,683.09 × 178,929.85
  4. Step 4: Simplify right side
    478,471.29x = 128,414,926,746.59
  5. Step 5: Solve for x
    x = 128,414,926,746.59/478,471.29
  6. Step 6: Final answer
    x = 268,385.85

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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.