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Finding the Fourth Proportional to 254,442.70, 381,809.85 and 96,784.30

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Solution

The fourth proportional to 254,442.70, 381,809.85 and 96,784.30 is: 145,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,442.70 : 381,809.85 = 96,784.30 : x
  2. Step 2: Convert to fraction form
    254,442.70/381,809.85 = 96,784.30/x
  3. Step 3: Cross multiply
    254,442.70x = 381,809.85 × 96,784.30
  4. Step 4: Simplify right side
    254,442.70x = 36,953,199,065.36
  5. Step 5: Solve for x
    x = 36,953,199,065.36/254,442.70
  6. Step 6: Final answer
    x = 145,231.91

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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.