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Finding the Fourth Proportional to 398,436.70, 597,655.05 and 149,086.30

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Solution

The fourth proportional to 398,436.70, 597,655.05 and 149,086.30 is: 223,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,436.70 : 597,655.05 = 149,086.30 : x
  2. Step 2: Convert to fraction form
    398,436.70/597,655.05 = 149,086.30/x
  3. Step 3: Cross multiply
    398,436.70x = 597,655.05 × 149,086.30
  4. Step 4: Simplify right side
    398,436.70x = 89,102,180,080.82
  5. Step 5: Solve for x
    x = 89,102,180,080.82/398,436.70
  6. Step 6: Final answer
    x = 223,629.45

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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.