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Finding the Fourth Proportional to 478,122.66, 716,691.92 and 212,008.50

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Solution

The fourth proportional to 478,122.66, 716,691.92 and 212,008.50 is: 317,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,122.66 : 716,691.92 = 212,008.50 : x
  2. Step 2: Convert to fraction form
    478,122.66/716,691.92 = 212,008.50/x
  3. Step 3: Cross multiply
    478,122.66x = 716,691.92 × 212,008.50
  4. Step 4: Simplify right side
    478,122.66x = 151,944,777,861.28
  5. Step 5: Solve for x
    x = 151,944,777,861.28/478,122.66
  6. Step 6: Final answer
    x = 317,794.55

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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.