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Finding the Fourth Proportional to 393,069.70, 542,531.24 and 366,475.78

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Solution

The fourth proportional to 393,069.70, 542,531.24 and 366,475.78 is: 505,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,069.70 : 542,531.24 = 366,475.78 : x
  2. Step 2: Convert to fraction form
    393,069.70/542,531.24 = 366,475.78/x
  3. Step 3: Cross multiply
    393,069.70x = 542,531.24 × 366,475.78
  4. Step 4: Simplify right side
    393,069.70x = 198,824,557,552.41
  5. Step 5: Solve for x
    x = 198,824,557,552.41/393,069.70
  6. Step 6: Final answer
    x = 505,825.20

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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.