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Finding the Fourth Proportional to 279,802.28, 419,844.56 and 137,641.60

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Solution

The fourth proportional to 279,802.28, 419,844.56 and 137,641.60 is: 206,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,802.28 : 419,844.56 = 137,641.60 : x
  2. Step 2: Convert to fraction form
    279,802.28/419,844.56 = 137,641.60/x
  3. Step 3: Cross multiply
    279,802.28x = 419,844.56 × 137,641.60
  4. Step 4: Simplify right side
    279,802.28x = 57,788,076,989.70
  5. Step 5: Solve for x
    x = 57,788,076,989.70/279,802.28
  6. Step 6: Final answer
    x = 206,531.83

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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.