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Finding the Fourth Proportional to 418,744.58, 627,878.92 and 285,785.91

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Solution

The fourth proportional to 418,744.58, 627,878.92 and 285,785.91 is: 428,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,744.58 : 627,878.92 = 285,785.91 : x
  2. Step 2: Convert to fraction form
    418,744.58/627,878.92 = 285,785.91/x
  3. Step 3: Cross multiply
    418,744.58x = 627,878.92 × 285,785.91
  4. Step 4: Simplify right side
    418,744.58x = 179,438,948,522.02
  5. Step 5: Solve for x
    x = 179,438,948,522.02/418,744.58
  6. Step 6: Final answer
    x = 428,516.47

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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.