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Finding the Fourth Proportional to 398,503.02, 597,400.60 and 155,287.78

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Solution

The fourth proportional to 398,503.02, 597,400.60 and 155,287.78 is: 232,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,503.02 : 597,400.60 = 155,287.78 : x
  2. Step 2: Convert to fraction form
    398,503.02/597,400.60 = 155,287.78/x
  3. Step 3: Cross multiply
    398,503.02x = 597,400.60 × 155,287.78
  4. Step 4: Simplify right side
    398,503.02x = 92,769,012,944.67
  5. Step 5: Solve for x
    x = 92,769,012,944.67/398,503.02
  6. Step 6: Final answer
    x = 232,793.75

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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.