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Finding the Fourth Proportional to 267,819.23, 401,754.78 and 78,275.34

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Solution

The fourth proportional to 267,819.23, 401,754.78 and 78,275.34 is: 117,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,819.23 : 401,754.78 = 78,275.34 : x
  2. Step 2: Convert to fraction form
    267,819.23/401,754.78 = 78,275.34/x
  3. Step 3: Cross multiply
    267,819.23x = 401,754.78 × 78,275.34
  4. Step 4: Simplify right side
    267,819.23x = 31,447,492,001.13
  5. Step 5: Solve for x
    x = 31,447,492,001.13/267,819.23
  6. Step 6: Final answer
    x = 117,420.59

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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.