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Finding the Fourth Proportional to 309,934.40, 464,901.30 and 85,296.12

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Solution

The fourth proportional to 309,934.40, 464,901.30 and 85,296.12 is: 127,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,934.40 : 464,901.30 = 85,296.12 : x
  2. Step 2: Convert to fraction form
    309,934.40/464,901.30 = 85,296.12/x
  3. Step 3: Cross multiply
    309,934.40x = 464,901.30 × 85,296.12
  4. Step 4: Simplify right side
    309,934.40x = 39,654,277,072.96
  5. Step 5: Solve for x
    x = 39,654,277,072.96/309,934.40
  6. Step 6: Final answer
    x = 127,944.10

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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.