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Finding the Fourth Proportional to 398,431.80, 597,647.70 and 145,711.80

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Solution

The fourth proportional to 398,431.80, 597,647.70 and 145,711.80 is: 218,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,431.80 : 597,647.70 = 145,711.80 : x
  2. Step 2: Convert to fraction form
    398,431.80/597,647.70 = 145,711.80/x
  3. Step 3: Cross multiply
    398,431.80x = 597,647.70 × 145,711.80
  4. Step 4: Simplify right side
    398,431.80x = 87,084,322,132.86
  5. Step 5: Solve for x
    x = 87,084,322,132.86/398,431.80
  6. Step 6: Final answer
    x = 218,567.70

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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.