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Finding the Fourth Proportional to 225,476.64, 338,386.32 and 83,456.28

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Solution

The fourth proportional to 225,476.64, 338,386.32 and 83,456.28 is: 125,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,476.64 : 338,386.32 = 83,456.28 : x
  2. Step 2: Convert to fraction form
    225,476.64/338,386.32 = 83,456.28/x
  3. Step 3: Cross multiply
    225,476.64x = 338,386.32 × 83,456.28
  4. Step 4: Simplify right side
    225,476.64x = 28,240,463,470.09
  5. Step 5: Solve for x
    x = 28,240,463,470.09/225,476.64
  6. Step 6: Final answer
    x = 125,247.85

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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.