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Finding the Fourth Proportional to 265,877.25, 398,988.41 and 159,180.81

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Solution

The fourth proportional to 265,877.25, 398,988.41 and 159,180.81 is: 238,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,877.25 : 398,988.41 = 159,180.81 : x
  2. Step 2: Convert to fraction form
    265,877.25/398,988.41 = 159,180.81/x
  3. Step 3: Cross multiply
    265,877.25x = 398,988.41 × 159,180.81
  4. Step 4: Simplify right side
    265,877.25x = 63,511,298,284.41
  5. Step 5: Solve for x
    x = 63,511,298,284.41/265,877.25
  6. Step 6: Final answer
    x = 238,874.51

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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.