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Finding the Fourth Proportional to 542,202.31, 813,526.78 and 238,440.31

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Solution

The fourth proportional to 542,202.31, 813,526.78 and 238,440.31 is: 357,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,202.31 : 813,526.78 = 238,440.31 : x
  2. Step 2: Convert to fraction form
    542,202.31/813,526.78 = 238,440.31/x
  3. Step 3: Cross multiply
    542,202.31x = 813,526.78 × 238,440.31
  4. Step 4: Simplify right side
    542,202.31x = 193,977,577,616.50
  5. Step 5: Solve for x
    x = 193,977,577,616.50/542,202.31
  6. Step 6: Final answer
    x = 357,758.67

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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.