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Finding the Fourth Proportional to 542,596.50, 748,783.17 and 304,132.50

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Solution

The fourth proportional to 542,596.50, 748,783.17 and 304,132.50 is: 419,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,596.50 : 748,783.17 = 304,132.50 : x
  2. Step 2: Convert to fraction form
    542,596.50/748,783.17 = 304,132.50/x
  3. Step 3: Cross multiply
    542,596.50x = 748,783.17 × 304,132.50
  4. Step 4: Simplify right side
    542,596.50x = 227,729,297,450.03
  5. Step 5: Solve for x
    x = 227,729,297,450.03/542,596.50
  6. Step 6: Final answer
    x = 419,702.85

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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.