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Finding the Fourth Proportional to 389,543.56, 585,342.80 and 209,761.91

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Solution

The fourth proportional to 389,543.56, 585,342.80 and 209,761.91 is: 315,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,543.56 : 585,342.80 = 209,761.91 : x
  2. Step 2: Convert to fraction form
    389,543.56/585,342.80 = 209,761.91/x
  3. Step 3: Cross multiply
    389,543.56x = 585,342.80 × 209,761.91
  4. Step 4: Simplify right side
    389,543.56x = 122,782,623,732.75
  5. Step 5: Solve for x
    x = 122,782,623,732.75/389,543.56
  6. Step 6: Final answer
    x = 315,196.13

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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.