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Finding the Fourth Proportional to 542,114.10, 813,171.15 and 262,178.10

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Solution

The fourth proportional to 542,114.10, 813,171.15 and 262,178.10 is: 393,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,114.10 : 813,171.15 = 262,178.10 : x
  2. Step 2: Convert to fraction form
    542,114.10/813,171.15 = 262,178.10/x
  3. Step 3: Cross multiply
    542,114.10x = 813,171.15 × 262,178.10
  4. Step 4: Simplify right side
    542,114.10x = 213,195,667,081.82
  5. Step 5: Solve for x
    x = 213,195,667,081.82/542,114.10
  6. Step 6: Final answer
    x = 393,267.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.