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Finding the Fourth Proportional to 309,648.25, 464,473.10 and 85,011.76

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Solution

The fourth proportional to 309,648.25, 464,473.10 and 85,011.76 is: 127,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,648.25 : 464,473.10 = 85,011.76 : x
  2. Step 2: Convert to fraction form
    309,648.25/464,473.10 = 85,011.76/x
  3. Step 3: Cross multiply
    309,648.25x = 464,473.10 × 85,011.76
  4. Step 4: Simplify right side
    309,648.25x = 39,485,676,496.78
  5. Step 5: Solve for x
    x = 39,485,676,496.78/309,648.25
  6. Step 6: Final answer
    x = 127,517.84

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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.