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Finding the Fourth Proportional to 343,086.40, 514,921.20 and 276,601.60

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Solution

The fourth proportional to 343,086.40, 514,921.20 and 276,601.60 is: 415,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,086.40 : 514,921.20 = 276,601.60 : x
  2. Step 2: Convert to fraction form
    343,086.40/514,921.20 = 276,601.60/x
  3. Step 3: Cross multiply
    343,086.40x = 514,921.20 × 276,601.60
  4. Step 4: Simplify right side
    343,086.40x = 142,428,027,793.92
  5. Step 5: Solve for x
    x = 142,428,027,793.92/343,086.40
  6. Step 6: Final answer
    x = 415,137.49

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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.