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Finding the Fourth Proportional to 398,759.72, 597,964.60 and 149,266.76

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Solution

The fourth proportional to 398,759.72, 597,964.60 and 149,266.76 is: 223,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,759.72 : 597,964.60 = 149,266.76 : x
  2. Step 2: Convert to fraction form
    398,759.72/597,964.60 = 149,266.76/x
  3. Step 3: Cross multiply
    398,759.72x = 597,964.60 × 149,266.76
  4. Step 4: Simplify right side
    398,759.72x = 89,256,238,436.70
  5. Step 5: Solve for x
    x = 89,256,238,436.70/398,759.72
  6. Step 6: Final answer
    x = 223,834.64

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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.