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Finding the Fourth Proportional to 342,876.60, 514,314.90 and 106,217.40

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Solution

The fourth proportional to 342,876.60, 514,314.90 and 106,217.40 is: 159,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,876.60 : 514,314.90 = 106,217.40 : x
  2. Step 2: Convert to fraction form
    342,876.60/514,314.90 = 106,217.40/x
  3. Step 3: Cross multiply
    342,876.60x = 514,314.90 × 106,217.40
  4. Step 4: Simplify right side
    342,876.60x = 54,629,191,459.26
  5. Step 5: Solve for x
    x = 54,629,191,459.26/342,876.60
  6. Step 6: Final answer
    x = 159,326.10

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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.