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Finding the Fourth Proportional to 265,689.20, 398,256.96 and 115,889.24

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Solution

The fourth proportional to 265,689.20, 398,256.96 and 115,889.24 is: 173,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,689.20 : 398,256.96 = 115,889.24 : x
  2. Step 2: Convert to fraction form
    265,689.20/398,256.96 = 115,889.24/x
  3. Step 3: Cross multiply
    265,689.20x = 398,256.96 × 115,889.24
  4. Step 4: Simplify right side
    265,689.20x = 46,153,696,419.11
  5. Step 5: Solve for x
    x = 46,153,696,419.11/265,689.20
  6. Step 6: Final answer
    x = 173,713.11

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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.