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Finding the Fourth Proportional to 225,478.78, 338,270 and 67,710.22

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Solution

The fourth proportional to 225,478.78, 338,270 and 67,710.22 is: 101,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,478.78 : 338,270 = 67,710.22 : x
  2. Step 2: Convert to fraction form
    225,478.78/338,270 = 67,710.22/x
  3. Step 3: Cross multiply
    225,478.78x = 338,270 × 67,710.22
  4. Step 4: Simplify right side
    225,478.78x = 22,904,336,119.40
  5. Step 5: Solve for x
    x = 22,904,336,119.40/225,478.78
  6. Step 6: Final answer
    x = 101,580.89

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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.