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Finding the Fourth Proportional to 276,925.80, 415,060.65 and 206,723.10

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Solution

The fourth proportional to 276,925.80, 415,060.65 and 206,723.10 is: 309,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,925.80 : 415,060.65 = 206,723.10 : x
  2. Step 2: Convert to fraction form
    276,925.80/415,060.65 = 206,723.10/x
  3. Step 3: Cross multiply
    276,925.80x = 415,060.65 × 206,723.10
  4. Step 4: Simplify right side
    276,925.80x = 85,802,624,256.02
  5. Step 5: Solve for x
    x = 85,802,624,256.02/276,925.80
  6. Step 6: Final answer
    x = 309,839.76

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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.