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Finding the Fourth Proportional to 389,708.56, 584,217.24 and 189,917.20

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Solution

The fourth proportional to 389,708.56, 584,217.24 and 189,917.20 is: 284,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,708.56 : 584,217.24 = 189,917.20 : x
  2. Step 2: Convert to fraction form
    389,708.56/584,217.24 = 189,917.20/x
  3. Step 3: Cross multiply
    389,708.56x = 584,217.24 × 189,917.20
  4. Step 4: Simplify right side
    389,708.56x = 110,952,902,412.53
  5. Step 5: Solve for x
    x = 110,952,902,412.53/389,708.56
  6. Step 6: Final answer
    x = 284,707.38

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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.