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Finding the Fourth Proportional to 285,246.38, 393,640 and 157,930.17

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Solution

The fourth proportional to 285,246.38, 393,640 and 157,930.17 is: 217,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,246.38 : 393,640 = 157,930.17 : x
  2. Step 2: Convert to fraction form
    285,246.38/393,640 = 157,930.17/x
  3. Step 3: Cross multiply
    285,246.38x = 393,640 × 157,930.17
  4. Step 4: Simplify right side
    285,246.38x = 62,167,632,118.80
  5. Step 5: Solve for x
    x = 62,167,632,118.80/285,246.38
  6. Step 6: Final answer
    x = 217,943.63

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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.