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Finding the Fourth Proportional to 829,813, 1,145,073.86 and 467,120.92

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Solution

The fourth proportional to 829,813, 1,145,073.86 and 467,120.92 is: 644,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,813 : 1,145,073.86 = 467,120.92 : x
  2. Step 2: Convert to fraction form
    829,813/1,145,073.86 = 467,120.92/x
  3. Step 3: Cross multiply
    829,813x = 1,145,073.86 × 467,120.92
  4. Step 4: Simplify right side
    829,813x = 534,887,954,951.15
  5. Step 5: Solve for x
    x = 534,887,954,951.15/829,813
  6. Step 6: Final answer
    x = 644,588.55

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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.