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Finding the Fourth Proportional to 526,493.76, 726,558.66 and 284,776.08

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Solution

The fourth proportional to 526,493.76, 726,558.66 and 284,776.08 is: 392,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,493.76 : 726,558.66 = 284,776.08 : x
  2. Step 2: Convert to fraction form
    526,493.76/726,558.66 = 284,776.08/x
  3. Step 3: Cross multiply
    526,493.76x = 726,558.66 × 284,776.08
  4. Step 4: Simplify right side
    526,493.76x = 206,906,527,084.85
  5. Step 5: Solve for x
    x = 206,906,527,084.85/526,493.76
  6. Step 6: Final answer
    x = 392,989.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.