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Finding the Fourth Proportional to 821,745, 1,134,060.84 and 459,169.92

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Solution

The fourth proportional to 821,745, 1,134,060.84 and 459,169.92 is: 633,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,745 : 1,134,060.84 = 459,169.92 : x
  2. Step 2: Convert to fraction form
    821,745/1,134,060.84 = 459,169.92/x
  3. Step 3: Cross multiply
    821,745x = 1,134,060.84 × 459,169.92
  4. Step 4: Simplify right side
    821,745x = 520,726,625,177.93
  5. Step 5: Solve for x
    x = 520,726,625,177.93/821,745
  6. Step 6: Final answer
    x = 633,683.96

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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.