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Finding the Fourth Proportional to 342,874.60, 514,311.90 and 106,215.40

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Solution

The fourth proportional to 342,874.60, 514,311.90 and 106,215.40 is: 159,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,874.60 : 514,311.90 = 106,215.40 : x
  2. Step 2: Convert to fraction form
    342,874.60/514,311.90 = 106,215.40/x
  3. Step 3: Cross multiply
    342,874.60x = 514,311.90 × 106,215.40
  4. Step 4: Simplify right side
    342,874.60x = 54,627,844,183.26
  5. Step 5: Solve for x
    x = 54,627,844,183.26/342,874.60
  6. Step 6: Final answer
    x = 159,323.10

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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.