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Finding the Fourth Proportional to 398,471.28, 597,690.24 and 98,945.40

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Solution

The fourth proportional to 398,471.28, 597,690.24 and 98,945.40 is: 148,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,471.28 : 597,690.24 = 98,945.40 : x
  2. Step 2: Convert to fraction form
    398,471.28/597,690.24 = 98,945.40/x
  3. Step 3: Cross multiply
    398,471.28x = 597,690.24 × 98,945.40
  4. Step 4: Simplify right side
    398,471.28x = 59,138,699,872.90
  5. Step 5: Solve for x
    x = 59,138,699,872.90/398,471.28
  6. Step 6: Final answer
    x = 148,413.96

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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.