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Finding the Fourth Proportional to 267,381, 368,985.78 and 159,955.56

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Solution

The fourth proportional to 267,381, 368,985.78 and 159,955.56 is: 220,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,381 : 368,985.78 = 159,955.56 : x
  2. Step 2: Convert to fraction form
    267,381/368,985.78 = 159,955.56/x
  3. Step 3: Cross multiply
    267,381x = 368,985.78 × 159,955.56
  4. Step 4: Simplify right side
    267,381x = 59,021,327,071.94
  5. Step 5: Solve for x
    x = 59,021,327,071.94/267,381
  6. Step 6: Final answer
    x = 220,738.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.