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Finding the Fourth Proportional to 542,305.36, 813,681 and 238,543.12

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Solution

The fourth proportional to 542,305.36, 813,681 and 238,543.12 is: 357,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,305.36 : 813,681 = 238,543.12 : x
  2. Step 2: Convert to fraction form
    542,305.36/813,681 = 238,543.12/x
  3. Step 3: Cross multiply
    542,305.36x = 813,681 × 238,543.12
  4. Step 4: Simplify right side
    542,305.36x = 194,098,004,424.72
  5. Step 5: Solve for x
    x = 194,098,004,424.72/542,305.36
  6. Step 6: Final answer
    x = 357,912.75

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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.