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Finding the Fourth Proportional to 342,874.60, 514,313.62 and 140,581.20

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Solution

The fourth proportional to 342,874.60, 514,313.62 and 140,581.20 is: 210,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,874.60 : 514,313.62 = 140,581.20 : x
  2. Step 2: Convert to fraction form
    342,874.60/514,313.62 = 140,581.20/x
  3. Step 3: Cross multiply
    342,874.60x = 514,313.62 × 140,581.20
  4. Step 4: Simplify right side
    342,874.60x = 72,302,827,453.17
  5. Step 5: Solve for x
    x = 72,302,827,453.17/342,874.60
  6. Step 6: Final answer
    x = 210,872.51

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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.