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Finding the Fourth Proportional to 420,765.83, 631,154.33 and 140,283.17

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Solution

The fourth proportional to 420,765.83, 631,154.33 and 140,283.17 is: 210,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,765.83 : 631,154.33 = 140,283.17 : x
  2. Step 2: Convert to fraction form
    420,765.83/631,154.33 = 140,283.17/x
  3. Step 3: Cross multiply
    420,765.83x = 631,154.33 × 140,283.17
  4. Step 4: Simplify right side
    420,765.83x = 88,540,329,470.21
  5. Step 5: Solve for x
    x = 88,540,329,470.21/420,765.83
  6. Step 6: Final answer
    x = 210,426.62

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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.