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Finding the Fourth Proportional to 478,473.74, 717,686.74 and 178,932.30

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Solution

The fourth proportional to 478,473.74, 717,686.74 and 178,932.30 is: 268,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,473.74 : 717,686.74 = 178,932.30 : x
  2. Step 2: Convert to fraction form
    478,473.74/717,686.74 = 178,932.30/x
  3. Step 3: Cross multiply
    478,473.74x = 717,686.74 × 178,932.30
  4. Step 4: Simplify right side
    478,473.74x = 128,417,339,067.70
  5. Step 5: Solve for x
    x = 128,417,339,067.70/478,473.74
  6. Step 6: Final answer
    x = 268,389.52

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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.