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Finding the Fourth Proportional to 542,428.85, 813,697.95 and 143,097.23

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Solution

The fourth proportional to 542,428.85, 813,697.95 and 143,097.23 is: 214,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,428.85 : 813,697.95 = 143,097.23 : x
  2. Step 2: Convert to fraction form
    542,428.85/813,697.95 = 143,097.23/x
  3. Step 3: Cross multiply
    542,428.85x = 813,697.95 × 143,097.23
  4. Step 4: Simplify right side
    542,428.85x = 116,437,925,272.54
  5. Step 5: Solve for x
    x = 116,437,925,272.54/542,428.85
  6. Step 6: Final answer
    x = 214,660.27

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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.