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Finding the Fourth Proportional to 393,127.48, 542,535.42 and 221,099.68

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Solution

The fourth proportional to 393,127.48, 542,535.42 and 221,099.68 is: 305,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,127.48 : 542,535.42 = 221,099.68 : x
  2. Step 2: Convert to fraction form
    393,127.48/542,535.42 = 221,099.68/x
  3. Step 3: Cross multiply
    393,127.48x = 542,535.42 × 221,099.68
  4. Step 4: Simplify right side
    393,127.48x = 119,954,407,750.67
  5. Step 5: Solve for x
    x = 119,954,407,750.67/393,127.48
  6. Step 6: Final answer
    x = 305,128.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.