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Finding the Fourth Proportional to 491,472.84, 678,225.78 and 287,663.88

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Solution

The fourth proportional to 491,472.84, 678,225.78 and 287,663.88 is: 396,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,472.84 : 678,225.78 = 287,663.88 : x
  2. Step 2: Convert to fraction form
    491,472.84/678,225.78 = 287,663.88/x
  3. Step 3: Cross multiply
    491,472.84x = 678,225.78 × 287,663.88
  4. Step 4: Simplify right side
    491,472.84x = 195,101,059,390.83
  5. Step 5: Solve for x
    x = 195,101,059,390.83/491,472.84
  6. Step 6: Final answer
    x = 396,972.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.