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Finding the Fourth Proportional to 393,138.71, 589,276.56 and 224,290.82

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Solution

The fourth proportional to 393,138.71, 589,276.56 and 224,290.82 is: 336,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,138.71 : 589,276.56 = 224,290.82 : x
  2. Step 2: Convert to fraction form
    393,138.71/589,276.56 = 224,290.82/x
  3. Step 3: Cross multiply
    393,138.71x = 589,276.56 × 224,290.82
  4. Step 4: Simplify right side
    393,138.71x = 132,169,319,902.80
  5. Step 5: Solve for x
    x = 132,169,319,902.80/393,138.71
  6. Step 6: Final answer
    x = 336,190.04

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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.