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Finding the Fourth Proportional to 487,839.70, 731,759.56 and 321,588.82

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Solution

The fourth proportional to 487,839.70, 731,759.56 and 321,588.82 is: 482,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,839.70 : 731,759.56 = 321,588.82 : x
  2. Step 2: Convert to fraction form
    487,839.70/731,759.56 = 321,588.82/x
  3. Step 3: Cross multiply
    487,839.70x = 731,759.56 × 321,588.82
  4. Step 4: Simplify right side
    487,839.70x = 235,325,693,424.12
  5. Step 5: Solve for x
    x = 235,325,693,424.12/487,839.70
  6. Step 6: Final answer
    x = 482,383.24

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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.