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Finding the Fourth Proportional to 393,063.71, 542,447.13 and 221,035.80

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Solution

The fourth proportional to 393,063.71, 542,447.13 and 221,035.80 is: 305,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,063.71 : 542,447.13 = 221,035.80 : x
  2. Step 2: Convert to fraction form
    393,063.71/542,447.13 = 221,035.80/x
  3. Step 3: Cross multiply
    393,063.71x = 542,447.13 × 221,035.80
  4. Step 4: Simplify right side
    393,063.71x = 119,900,235,337.25
  5. Step 5: Solve for x
    x = 119,900,235,337.25/393,063.71
  6. Step 6: Final answer
    x = 305,040.21

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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.