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Finding the Fourth Proportional to 265,909.31, 398,867.44 and 88,416.32

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Solution

The fourth proportional to 265,909.31, 398,867.44 and 88,416.32 is: 132,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,909.31 : 398,867.44 = 88,416.32 : x
  2. Step 2: Convert to fraction form
    265,909.31/398,867.44 = 88,416.32/x
  3. Step 3: Cross multiply
    265,909.31x = 398,867.44 × 88,416.32
  4. Step 4: Simplify right side
    265,909.31x = 35,266,392,320.31
  5. Step 5: Solve for x
    x = 35,266,392,320.31/265,909.31
  6. Step 6: Final answer
    x = 132,625.64

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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.