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Finding the Fourth Proportional to 418,770.72, 627,917.40 and 285,811.92

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Solution

The fourth proportional to 418,770.72, 627,917.40 and 285,811.92 is: 428,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,770.72 : 627,917.40 = 285,811.92 : x
  2. Step 2: Convert to fraction form
    418,770.72/627,917.40 = 285,811.92/x
  3. Step 3: Cross multiply
    418,770.72x = 627,917.40 × 285,811.92
  4. Step 4: Simplify right side
    418,770.72x = 179,466,277,695.41
  5. Step 5: Solve for x
    x = 179,466,277,695.41/418,770.72
  6. Step 6: Final answer
    x = 428,554.98

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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.