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Finding the Fourth Proportional to 276,909.40, 415,364.10 and 206,925.40

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Solution

The fourth proportional to 276,909.40, 415,364.10 and 206,925.40 is: 310,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,909.40 : 415,364.10 = 206,925.40 : x
  2. Step 2: Convert to fraction form
    276,909.40/415,364.10 = 206,925.40/x
  3. Step 3: Cross multiply
    276,909.40x = 415,364.10 × 206,925.40
  4. Step 4: Simplify right side
    276,909.40x = 85,949,382,538.14
  5. Step 5: Solve for x
    x = 85,949,382,538.14/276,909.40
  6. Step 6: Final answer
    x = 310,388.10

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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.