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Finding the Fourth Proportional to 254,538.80, 381,851.40 and 77,044.40

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Solution

The fourth proportional to 254,538.80, 381,851.40 and 77,044.40 is: 115,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,538.80 : 381,851.40 = 77,044.40 : x
  2. Step 2: Convert to fraction form
    254,538.80/381,851.40 = 77,044.40/x
  3. Step 3: Cross multiply
    254,538.80x = 381,851.40 × 77,044.40
  4. Step 4: Simplify right side
    254,538.80x = 29,419,512,002.16
  5. Step 5: Solve for x
    x = 29,419,512,002.16/254,538.80
  6. Step 6: Final answer
    x = 115,579.68

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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.