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Finding the Fourth Proportional to 502,912.90, 694,016 and 273,470.32

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Solution

The fourth proportional to 502,912.90, 694,016 and 273,470.32 is: 377,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,912.90 : 694,016 = 273,470.32 : x
  2. Step 2: Convert to fraction form
    502,912.90/694,016 = 273,470.32/x
  3. Step 3: Cross multiply
    502,912.90x = 694,016 × 273,470.32
  4. Step 4: Simplify right side
    502,912.90x = 189,792,777,605.12
  5. Step 5: Solve for x
    x = 189,792,777,605.12/502,912.90
  6. Step 6: Final answer
    x = 377,386.97

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1.5x scale

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.