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Finding the Fourth Proportional to 389,809.96, 584,775.90 and 165,170.92

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Solution

The fourth proportional to 389,809.96, 584,775.90 and 165,170.92 is: 247,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,809.96 : 584,775.90 = 165,170.92 : x
  2. Step 2: Convert to fraction form
    389,809.96/584,775.90 = 165,170.92/x
  3. Step 3: Cross multiply
    389,809.96x = 584,775.90 × 165,170.92
  4. Step 4: Simplify right side
    389,809.96x = 96,587,973,396.83
  5. Step 5: Solve for x
    x = 96,587,973,396.83/389,809.96
  6. Step 6: Final answer
    x = 247,782.21

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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.