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Finding the Fourth Proportional to 342,322.60, 513,278.84 and 162,452.78

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Solution

The fourth proportional to 342,322.60, 513,278.84 and 162,452.78 is: 243,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,322.60 : 513,278.84 = 162,452.78 : x
  2. Step 2: Convert to fraction form
    342,322.60/513,278.84 = 162,452.78/x
  3. Step 3: Cross multiply
    342,322.60x = 513,278.84 × 162,452.78
  4. Step 4: Simplify right side
    342,322.60x = 83,383,574,473.18
  5. Step 5: Solve for x
    x = 83,383,574,473.18/342,322.60
  6. Step 6: Final answer
    x = 243,581.86

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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.