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Finding the Fourth Proportional to 312,635.90, 469,581.55 and 186,522.19

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Solution

The fourth proportional to 312,635.90, 469,581.55 and 186,522.19 is: 280,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,635.90 : 469,581.55 = 186,522.19 : x
  2. Step 2: Convert to fraction form
    312,635.90/469,581.55 = 186,522.19/x
  3. Step 3: Cross multiply
    312,635.90x = 469,581.55 × 186,522.19
  4. Step 4: Simplify right side
    312,635.90x = 87,587,381,139.92
  5. Step 5: Solve for x
    x = 87,587,381,139.92/312,635.90
  6. Step 6: Final answer
    x = 280,157.78

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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.