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Finding the Fourth Proportional to 309,901.38, 464,799.44 and 141,382.09

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Solution

The fourth proportional to 309,901.38, 464,799.44 and 141,382.09 is: 212,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,901.38 : 464,799.44 = 141,382.09 : x
  2. Step 2: Convert to fraction form
    309,901.38/464,799.44 = 141,382.09/x
  3. Step 3: Cross multiply
    309,901.38x = 464,799.44 × 141,382.09
  4. Step 4: Simplify right side
    309,901.38x = 65,714,316,662.30
  5. Step 5: Solve for x
    x = 65,714,316,662.30/309,901.38
  6. Step 6: Final answer
    x = 212,049.13

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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.