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Finding the Fourth Proportional to 344,708.60, 517,062.90 and 256,135.10

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Solution

The fourth proportional to 344,708.60, 517,062.90 and 256,135.10 is: 384,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,708.60 : 517,062.90 = 256,135.10 : x
  2. Step 2: Convert to fraction form
    344,708.60/517,062.90 = 256,135.10/x
  3. Step 3: Cross multiply
    344,708.60x = 517,062.90 × 256,135.10
  4. Step 4: Simplify right side
    344,708.60x = 132,437,957,597.79
  5. Step 5: Solve for x
    x = 132,437,957,597.79/344,708.60
  6. Step 6: Final answer
    x = 384,202.65

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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.