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Finding the Fourth Proportional to 487,553.82, 731,199.69 and 171,969.18

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Solution

The fourth proportional to 487,553.82, 731,199.69 and 171,969.18 is: 257,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,553.82 : 731,199.69 = 171,969.18 : x
  2. Step 2: Convert to fraction form
    487,553.82/731,199.69 = 171,969.18/x
  3. Step 3: Cross multiply
    487,553.82x = 731,199.69 × 171,969.18
  4. Step 4: Simplify right side
    487,553.82x = 125,743,811,105.55
  5. Step 5: Solve for x
    x = 125,743,811,105.55/487,553.82
  6. Step 6: Final answer
    x = 257,907.55

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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.