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Finding the Fourth Proportional to 398,197.15, 597,278.32 and 128,319.25

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Solution

The fourth proportional to 398,197.15, 597,278.32 and 128,319.25 is: 192,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,197.15 : 597,278.32 = 128,319.25 : x
  2. Step 2: Convert to fraction form
    398,197.15/597,278.32 = 128,319.25/x
  3. Step 3: Cross multiply
    398,197.15x = 597,278.32 × 128,319.25
  4. Step 4: Simplify right side
    398,197.15x = 76,642,306,063.66
  5. Step 5: Solve for x
    x = 76,642,306,063.66/398,197.15
  6. Step 6: Final answer
    x = 192,473.27

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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.