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Finding the Fourth Proportional to 487,843.62, 731,344.86 and 188,534.22

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Solution

The fourth proportional to 487,843.62, 731,344.86 and 188,534.22 is: 282,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,843.62 : 731,344.86 = 188,534.22 : x
  2. Step 2: Convert to fraction form
    487,843.62/731,344.86 = 188,534.22/x
  3. Step 3: Cross multiply
    487,843.62x = 731,344.86 × 188,534.22
  4. Step 4: Simplify right side
    487,843.62x = 137,883,532,731.11
  5. Step 5: Solve for x
    x = 137,883,532,731.11/487,843.62
  6. Step 6: Final answer
    x = 282,638.79

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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.