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Finding the Fourth Proportional to 478,477.05, 717,691.70 and 178,935.61

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Solution

The fourth proportional to 478,477.05, 717,691.70 and 178,935.61 is: 268,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,477.05 : 717,691.70 = 178,935.61 : x
  2. Step 2: Convert to fraction form
    478,477.05/717,691.70 = 178,935.61/x
  3. Step 3: Cross multiply
    478,477.05x = 717,691.70 × 178,935.61
  4. Step 4: Simplify right side
    478,477.05x = 128,420,600,784.55
  5. Step 5: Solve for x
    x = 128,420,600,784.55/478,477.05
  6. Step 6: Final answer
    x = 268,394.48

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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.