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Finding the Fourth Proportional to 398,437.70, 597,656.55 and 149,087.30

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Solution

The fourth proportional to 398,437.70, 597,656.55 and 149,087.30 is: 223,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,437.70 : 597,656.55 = 149,087.30 : x
  2. Step 2: Convert to fraction form
    398,437.70/597,656.55 = 149,087.30/x
  3. Step 3: Cross multiply
    398,437.70x = 597,656.55 × 149,087.30
  4. Step 4: Simplify right side
    398,437.70x = 89,103,001,366.82
  5. Step 5: Solve for x
    x = 89,103,001,366.82/398,437.70
  6. Step 6: Final answer
    x = 223,630.95

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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.