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Finding the Fourth Proportional to 309,367.52, 464,138.40 and 119,885.12

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Solution

The fourth proportional to 309,367.52, 464,138.40 and 119,885.12 is: 179,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,367.52 : 464,138.40 = 119,885.12 : x
  2. Step 2: Convert to fraction form
    309,367.52/464,138.40 = 119,885.12/x
  3. Step 3: Cross multiply
    309,367.52x = 464,138.40 × 119,885.12
  4. Step 4: Simplify right side
    309,367.52x = 55,643,287,780.61
  5. Step 5: Solve for x
    x = 55,643,287,780.61/309,367.52
  6. Step 6: Final answer
    x = 179,861.44

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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.