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Finding the Fourth Proportional to 472,046.84, 707,917.14 and 156,419

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Solution

The fourth proportional to 472,046.84, 707,917.14 and 156,419 is: 234,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,046.84 : 707,917.14 = 156,419 : x
  2. Step 2: Convert to fraction form
    472,046.84/707,917.14 = 156,419/x
  3. Step 3: Cross multiply
    472,046.84x = 707,917.14 × 156,419
  4. Step 4: Simplify right side
    472,046.84x = 110,731,691,121.66
  5. Step 5: Solve for x
    x = 110,731,691,121.66/472,046.84
  6. Step 6: Final answer
    x = 234,577.76

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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.