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Finding the Fourth Proportional to 389,543.88, 585,343.28 and 209,762.23

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Solution

The fourth proportional to 389,543.88, 585,343.28 and 209,762.23 is: 315,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,543.88 : 585,343.28 = 209,762.23 : x
  2. Step 2: Convert to fraction form
    389,543.88/585,343.28 = 209,762.23/x
  3. Step 3: Cross multiply
    389,543.88x = 585,343.28 × 209,762.23
  4. Step 4: Simplify right side
    389,543.88x = 122,782,909,216.15
  5. Step 5: Solve for x
    x = 122,782,909,216.15/389,543.88
  6. Step 6: Final answer
    x = 315,196.61

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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.