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Finding the Fourth Proportional to 385,039.22, 577,347.42 and 118,725.80

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Solution

The fourth proportional to 385,039.22, 577,347.42 and 118,725.80 is: 178,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,039.22 : 577,347.42 = 118,725.80 : x
  2. Step 2: Convert to fraction form
    385,039.22/577,347.42 = 118,725.80/x
  3. Step 3: Cross multiply
    385,039.22x = 577,347.42 × 118,725.80
  4. Step 4: Simplify right side
    385,039.22x = 68,546,034,317.44
  5. Step 5: Solve for x
    x = 68,546,034,317.44/385,039.22
  6. Step 6: Final answer
    x = 178,023.51

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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.