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Finding the Fourth Proportional to 432,724.25, 648,947.85 and 144,474

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Solution

The fourth proportional to 432,724.25, 648,947.85 and 144,474 is: 216,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,724.25 : 648,947.85 = 144,474 : x
  2. Step 2: Convert to fraction form
    432,724.25/648,947.85 = 144,474/x
  3. Step 3: Cross multiply
    432,724.25x = 648,947.85 × 144,474
  4. Step 4: Simplify right side
    432,724.25x = 93,756,091,680.90
  5. Step 5: Solve for x
    x = 93,756,091,680.90/432,724.25
  6. Step 6: Final answer
    x = 216,664.75

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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.