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Finding the Fourth Proportional to 254,819.34, 382,209.48 and 77,327.28

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Solution

The fourth proportional to 254,819.34, 382,209.48 and 77,327.28 is: 115,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,819.34 : 382,209.48 = 77,327.28 : x
  2. Step 2: Convert to fraction form
    254,819.34/382,209.48 = 77,327.28/x
  3. Step 3: Cross multiply
    254,819.34x = 382,209.48 × 77,327.28
  4. Step 4: Simplify right side
    254,819.34x = 29,555,219,478.61
  5. Step 5: Solve for x
    x = 29,555,219,478.61/254,819.34
  6. Step 6: Final answer
    x = 115,984.99

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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.