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Finding the Fourth Proportional to 871,167, 1,306,799.76 and 310,201.56

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Solution

The fourth proportional to 871,167, 1,306,799.76 and 310,201.56 is: 465,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,167 : 1,306,799.76 = 310,201.56 : x
  2. Step 2: Convert to fraction form
    871,167/1,306,799.76 = 310,201.56/x
  3. Step 3: Cross multiply
    871,167x = 1,306,799.76 × 310,201.56
  4. Step 4: Simplify right side
    871,167x = 405,371,324,159.63
  5. Step 5: Solve for x
    x = 405,371,324,159.63/871,167
  6. Step 6: Final answer
    x = 465,319.88

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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.