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Finding the Fourth Proportional to 265,578, 398,425.32 and 99,366

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Solution

The fourth proportional to 265,578, 398,425.32 and 99,366 is: 149,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,578 : 398,425.32 = 99,366 : x
  2. Step 2: Convert to fraction form
    265,578/398,425.32 = 99,366/x
  3. Step 3: Cross multiply
    265,578x = 398,425.32 × 99,366
  4. Step 4: Simplify right side
    265,578x = 39,589,930,347.12
  5. Step 5: Solve for x
    x = 39,589,930,347.12/265,578
  6. Step 6: Final answer
    x = 149,070.82

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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.