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Finding the Fourth Proportional to 315,488.20, 472,310.70 and 282,310.60

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Solution

The fourth proportional to 315,488.20, 472,310.70 and 282,310.60 is: 422,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,488.20 : 472,310.70 = 282,310.60 : x
  2. Step 2: Convert to fraction form
    315,488.20/472,310.70 = 282,310.60/x
  3. Step 3: Cross multiply
    315,488.20x = 472,310.70 × 282,310.60
  4. Step 4: Simplify right side
    315,488.20x = 133,338,317,103.42
  5. Step 5: Solve for x
    x = 133,338,317,103.42/315,488.20
  6. Step 6: Final answer
    x = 422,641.22

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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.