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Finding the Fourth Proportional to 342,052.80, 512,204.40 and 252,823.20

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Solution

The fourth proportional to 342,052.80, 512,204.40 and 252,823.20 is: 378,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,052.80 : 512,204.40 = 252,823.20 : x
  2. Step 2: Convert to fraction form
    342,052.80/512,204.40 = 252,823.20/x
  3. Step 3: Cross multiply
    342,052.80x = 512,204.40 × 252,823.20
  4. Step 4: Simplify right side
    342,052.80x = 129,497,155,462.08
  5. Step 5: Solve for x
    x = 129,497,155,462.08/342,052.80
  6. Step 6: Final answer
    x = 378,588.20

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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.