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Finding the Fourth Proportional to 387,112.40, 580,841.40 and 137,973.20

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Solution

The fourth proportional to 387,112.40, 580,841.40 and 137,973.20 is: 207,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,112.40 : 580,841.40 = 137,973.20 : x
  2. Step 2: Convert to fraction form
    387,112.40/580,841.40 = 137,973.20/x
  3. Step 3: Cross multiply
    387,112.40x = 580,841.40 × 137,973.20
  4. Step 4: Simplify right side
    387,112.40x = 80,140,546,650.48
  5. Step 5: Solve for x
    x = 80,140,546,650.48/387,112.40
  6. Step 6: Final answer
    x = 207,021.39

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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.