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Finding the Fourth Proportional to 398,019.87, 597,108.60 and 113,712.89

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Solution

The fourth proportional to 398,019.87, 597,108.60 and 113,712.89 is: 170,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,019.87 : 597,108.60 = 113,712.89 : x
  2. Step 2: Convert to fraction form
    398,019.87/597,108.60 = 113,712.89/x
  3. Step 3: Cross multiply
    398,019.87x = 597,108.60 × 113,712.89
  4. Step 4: Simplify right side
    398,019.87x = 67,898,941,564.31
  5. Step 5: Solve for x
    x = 67,898,941,564.31/398,019.87
  6. Step 6: Final answer
    x = 170,591.84

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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.