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Finding the Fourth Proportional to 420,757.58, 631,141.96 and 140,274.92

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Solution

The fourth proportional to 420,757.58, 631,141.96 and 140,274.92 is: 210,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,757.58 : 631,141.96 = 140,274.92 : x
  2. Step 2: Convert to fraction form
    420,757.58/631,141.96 = 140,274.92/x
  3. Step 3: Cross multiply
    420,757.58x = 631,141.96 × 140,274.92
  4. Step 4: Simplify right side
    420,757.58x = 88,533,387,947.64
  5. Step 5: Solve for x
    x = 88,533,387,947.64/420,757.58
  6. Step 6: Final answer
    x = 210,414.24

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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.