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Finding the Fourth Proportional to 550,874, 826,449.24 and 156,890

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Solution

The fourth proportional to 550,874, 826,449.24 and 156,890 is: 235,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,874 : 826,449.24 = 156,890 : x
  2. Step 2: Convert to fraction form
    550,874/826,449.24 = 156,890/x
  3. Step 3: Cross multiply
    550,874x = 826,449.24 × 156,890
  4. Step 4: Simplify right side
    550,874x = 129,661,621,263.60
  5. Step 5: Solve for x
    x = 129,661,621,263.60/550,874
  6. Step 6: Final answer
    x = 235,374.37

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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.