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Finding the Fourth Proportional to 398,697.68, 597,944.64 and 118,149.36

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Solution

The fourth proportional to 398,697.68, 597,944.64 and 118,149.36 is: 177,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,697.68 : 597,944.64 = 118,149.36 : x
  2. Step 2: Convert to fraction form
    398,697.68/597,944.64 = 118,149.36/x
  3. Step 3: Cross multiply
    398,697.68x = 597,944.64 × 118,149.36
  4. Step 4: Simplify right side
    398,697.68x = 70,646,776,531.43
  5. Step 5: Solve for x
    x = 70,646,776,531.43/398,697.68
  6. Step 6: Final answer
    x = 177,193.85

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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.