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Finding the Fourth Proportional to 478,470.86, 717,682.43 and 178,929.42

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Solution

The fourth proportional to 478,470.86, 717,682.43 and 178,929.42 is: 268,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,470.86 : 717,682.43 = 178,929.42 : x
  2. Step 2: Convert to fraction form
    478,470.86/717,682.43 = 178,929.42/x
  3. Step 3: Cross multiply
    478,470.86x = 717,682.43 × 178,929.42
  4. Step 4: Simplify right side
    478,470.86x = 128,414,498,700.11
  5. Step 5: Solve for x
    x = 128,414,498,700.11/478,470.86
  6. Step 6: Final answer
    x = 268,385.20

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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.