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Finding the Fourth Proportional to 387,114.40, 580,844.40 and 137,975.20

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Solution

The fourth proportional to 387,114.40, 580,844.40 and 137,975.20 is: 207,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,114.40 : 580,844.40 = 137,975.20 : x
  2. Step 2: Convert to fraction form
    387,114.40/580,844.40 = 137,975.20/x
  3. Step 3: Cross multiply
    387,114.40x = 580,844.40 × 137,975.20
  4. Step 4: Simplify right side
    387,114.40x = 80,142,122,258.88
  5. Step 5: Solve for x
    x = 80,142,122,258.88/387,114.40
  6. Step 6: Final answer
    x = 207,024.39

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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.