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Finding the Fourth Proportional to 309,799.40, 464,305.40 and 169,394

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Solution

The fourth proportional to 309,799.40, 464,305.40 and 169,394 is: 253,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,799.40 : 464,305.40 = 169,394 : x
  2. Step 2: Convert to fraction form
    309,799.40/464,305.40 = 169,394/x
  3. Step 3: Cross multiply
    309,799.40x = 464,305.40 × 169,394
  4. Step 4: Simplify right side
    309,799.40x = 78,650,548,927.60
  5. Step 5: Solve for x
    x = 78,650,548,927.60/309,799.40
  6. Step 6: Final answer
    x = 253,875.73

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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.