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Finding the Fourth Proportional to 398,159.70, 597,239.55 and 148,809.30

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Solution

The fourth proportional to 398,159.70, 597,239.55 and 148,809.30 is: 223,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,159.70 : 597,239.55 = 148,809.30 : x
  2. Step 2: Convert to fraction form
    398,159.70/597,239.55 = 148,809.30/x
  3. Step 3: Cross multiply
    398,159.70x = 597,239.55 × 148,809.30
  4. Step 4: Simplify right side
    398,159.70x = 88,874,799,367.82
  5. Step 5: Solve for x
    x = 88,874,799,367.82/398,159.70
  6. Step 6: Final answer
    x = 223,213.95

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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.