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Finding the Fourth Proportional to 478,186.97, 717,446.53 and 212,134.32

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Solution

The fourth proportional to 478,186.97, 717,446.53 and 212,134.32 is: 318,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,186.97 : 717,446.53 = 212,134.32 : x
  2. Step 2: Convert to fraction form
    478,186.97/717,446.53 = 212,134.32/x
  3. Step 3: Cross multiply
    478,186.97x = 717,446.53 × 212,134.32
  4. Step 4: Simplify right side
    478,186.97x = 152,195,031,777.91
  5. Step 5: Solve for x
    x = 152,195,031,777.91/478,186.97
  6. Step 6: Final answer
    x = 318,275.15

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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.