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Finding the Fourth Proportional to 265,411.78, 398,288.95 and 96,918.01

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Solution

The fourth proportional to 265,411.78, 398,288.95 and 96,918.01 is: 145,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,411.78 : 398,288.95 = 96,918.01 : x
  2. Step 2: Convert to fraction form
    265,411.78/398,288.95 = 96,918.01/x
  3. Step 3: Cross multiply
    265,411.78x = 398,288.95 × 96,918.01
  4. Step 4: Simplify right side
    265,411.78x = 38,601,371,200.97
  5. Step 5: Solve for x
    x = 38,601,371,200.97/265,411.78
  6. Step 6: Final answer
    x = 145,439.56

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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.