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Finding the Fourth Proportional to 389,489.24, 584,489.30 and 136,763.21

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Solution

The fourth proportional to 389,489.24, 584,489.30 and 136,763.21 is: 205,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,489.24 : 584,489.30 = 136,763.21 : x
  2. Step 2: Convert to fraction form
    389,489.24/584,489.30 = 136,763.21/x
  3. Step 3: Cross multiply
    389,489.24x = 584,489.30 × 136,763.21
  4. Step 4: Simplify right side
    389,489.24x = 79,936,633,656.06
  5. Step 5: Solve for x
    x = 79,936,633,656.06/389,489.24
  6. Step 6: Final answer
    x = 205,234.51

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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.