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Finding the Fourth Proportional to 272,949.32, 409,497.70 and 83,404.52

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Solution

The fourth proportional to 272,949.32, 409,497.70 and 83,404.52 is: 125,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,949.32 : 409,497.70 = 83,404.52 : x
  2. Step 2: Convert to fraction form
    272,949.32/409,497.70 = 83,404.52/x
  3. Step 3: Cross multiply
    272,949.32x = 409,497.70 × 83,404.52
  4. Step 4: Simplify right side
    272,949.32x = 34,153,959,109.60
  5. Step 5: Solve for x
    x = 34,153,959,109.60/272,949.32
  6. Step 6: Final answer
    x = 125,129.31

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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.