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Finding the Fourth Proportional to 487,635.84, 731,744.46 and 217,743.12

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Solution

The fourth proportional to 487,635.84, 731,744.46 and 217,743.12 is: 326,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,635.84 : 731,744.46 = 217,743.12 : x
  2. Step 2: Convert to fraction form
    487,635.84/731,744.46 = 217,743.12/x
  3. Step 3: Cross multiply
    487,635.84x = 731,744.46 × 217,743.12
  4. Step 4: Simplify right side
    487,635.84x = 159,332,321,763.12
  5. Step 5: Solve for x
    x = 159,332,321,763.12/487,635.84
  6. Step 6: Final answer
    x = 326,744.49

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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.