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Finding the Fourth Proportional to 279,977.62, 419,234.40 and 153,354.46

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Solution

The fourth proportional to 279,977.62, 419,234.40 and 153,354.46 is: 229,630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,977.62 : 419,234.40 = 153,354.46 : x
  2. Step 2: Convert to fraction form
    279,977.62/419,234.40 = 153,354.46/x
  3. Step 3: Cross multiply
    279,977.62x = 419,234.40 × 153,354.46
  4. Step 4: Simplify right side
    279,977.62x = 64,291,465,025.42
  5. Step 5: Solve for x
    x = 64,291,465,025.42/279,977.62
  6. Step 6: Final answer
    x = 229,630.73

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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.