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Finding the Fourth Proportional to 265,387.88, 398,149.25 and 78,399.38

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Solution

The fourth proportional to 265,387.88, 398,149.25 and 78,399.38 is: 117,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,387.88 : 398,149.25 = 78,399.38 : x
  2. Step 2: Convert to fraction form
    265,387.88/398,149.25 = 78,399.38/x
  3. Step 3: Cross multiply
    265,387.88x = 398,149.25 × 78,399.38
  4. Step 4: Simplify right side
    265,387.88x = 31,214,651,964.72
  5. Step 5: Solve for x
    x = 31,214,651,964.72/265,387.88
  6. Step 6: Final answer
    x = 117,618.98

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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.