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Finding the Fourth Proportional to 418,744.33, 627,878.55 and 285,785.66

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Solution

The fourth proportional to 418,744.33, 627,878.55 and 285,785.66 is: 428,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,744.33 : 627,878.55 = 285,785.66 : x
  2. Step 2: Convert to fraction form
    418,744.33/627,878.55 = 285,785.66/x
  3. Step 3: Cross multiply
    418,744.33x = 627,878.55 × 285,785.66
  4. Step 4: Simplify right side
    418,744.33x = 179,438,685,811.59
  5. Step 5: Solve for x
    x = 179,438,685,811.59/418,744.33
  6. Step 6: Final answer
    x = 428,516.10

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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.