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Finding the Fourth Proportional to 265,403.50, 398,105.28 and 68,411.50

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Solution

The fourth proportional to 265,403.50, 398,105.28 and 68,411.50 is: 102,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,403.50 : 398,105.28 = 68,411.50 : x
  2. Step 2: Convert to fraction form
    265,403.50/398,105.28 = 68,411.50/x
  3. Step 3: Cross multiply
    265,403.50x = 398,105.28 × 68,411.50
  4. Step 4: Simplify right side
    265,403.50x = 27,234,979,362.72
  5. Step 5: Solve for x
    x = 27,234,979,362.72/265,403.50
  6. Step 6: Final answer
    x = 102,617.26

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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.