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Finding the Fourth Proportional to 478,476.30, 717,690.57 and 178,934.85

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Solution

The fourth proportional to 478,476.30, 717,690.57 and 178,934.85 is: 268,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,476.30 : 717,690.57 = 178,934.85 : x
  2. Step 2: Convert to fraction form
    478,476.30/717,690.57 = 178,934.85/x
  3. Step 3: Cross multiply
    478,476.30x = 717,690.57 × 178,934.85
  4. Step 4: Simplify right side
    478,476.30x = 128,419,854,489.37
  5. Step 5: Solve for x
    x = 128,419,854,489.37/478,476.30
  6. Step 6: Final answer
    x = 268,393.34

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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.