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Finding the Fourth Proportional to 343,877.20, 516,204.60 and 265,339.60

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Solution

The fourth proportional to 343,877.20, 516,204.60 and 265,339.60 is: 398,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,877.20 : 516,204.60 = 265,339.60 : x
  2. Step 2: Convert to fraction form
    343,877.20/516,204.60 = 265,339.60/x
  3. Step 3: Cross multiply
    343,877.20x = 516,204.60 × 265,339.60
  4. Step 4: Simplify right side
    343,877.20x = 136,969,522,082.16
  5. Step 5: Solve for x
    x = 136,969,522,082.16/343,877.20
  6. Step 6: Final answer
    x = 398,309.40

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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.