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Finding the Fourth Proportional to 526,713.42, 726,859.17 and 284,990.70

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Solution

The fourth proportional to 526,713.42, 726,859.17 and 284,990.70 is: 393,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,713.42 : 726,859.17 = 284,990.70 : x
  2. Step 2: Convert to fraction form
    526,713.42/726,859.17 = 284,990.70/x
  3. Step 3: Cross multiply
    526,713.42x = 726,859.17 × 284,990.70
  4. Step 4: Simplify right side
    526,713.42x = 207,148,103,659.72
  5. Step 5: Solve for x
    x = 207,148,103,659.72/526,713.42
  6. Step 6: Final answer
    x = 393,284.27

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1.5x scale

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.