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Finding the Fourth Proportional to 265,700.12, 398,623.10 and 132,419.48

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Solution

The fourth proportional to 265,700.12, 398,623.10 and 132,419.48 is: 198,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,700.12 : 398,623.10 = 132,419.48 : x
  2. Step 2: Convert to fraction form
    265,700.12/398,623.10 = 132,419.48/x
  3. Step 3: Cross multiply
    265,700.12x = 398,623.10 × 132,419.48
  4. Step 4: Simplify right side
    265,700.12x = 52,785,463,617.99
  5. Step 5: Solve for x
    x = 52,785,463,617.99/265,700.12
  6. Step 6: Final answer
    x = 198,665.56

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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.