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Finding the Fourth Proportional to 420,765.89, 631,154.42 and 140,283.23

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Solution

The fourth proportional to 420,765.89, 631,154.42 and 140,283.23 is: 210,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,765.89 : 631,154.42 = 140,283.23 : x
  2. Step 2: Convert to fraction form
    420,765.89/631,154.42 = 140,283.23/x
  3. Step 3: Cross multiply
    420,765.89x = 631,154.42 × 140,283.23
  4. Step 4: Simplify right side
    420,765.89x = 88,540,382,068.91
  5. Step 5: Solve for x
    x = 88,540,382,068.91/420,765.89
  6. Step 6: Final answer
    x = 210,426.71

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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.