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Finding the Fourth Proportional to 542,359.97, 813,548.16 and 205,310.13

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Solution

The fourth proportional to 542,359.97, 813,548.16 and 205,310.13 is: 307,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,359.97 : 813,548.16 = 205,310.13 : x
  2. Step 2: Convert to fraction form
    542,359.97/813,548.16 = 205,310.13/x
  3. Step 3: Cross multiply
    542,359.97x = 813,548.16 × 205,310.13
  4. Step 4: Simplify right side
    542,359.97x = 167,029,675,440.06
  5. Step 5: Solve for x
    x = 167,029,675,440.06/542,359.97
  6. Step 6: Final answer
    x = 307,968.30

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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.