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Finding the Fourth Proportional to 312,818.28, 469,293.04 and 135,350.52

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Solution

The fourth proportional to 312,818.28, 469,293.04 and 135,350.52 is: 203,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,818.28 : 469,293.04 = 135,350.52 : x
  2. Step 2: Convert to fraction form
    312,818.28/469,293.04 = 135,350.52/x
  3. Step 3: Cross multiply
    312,818.28x = 469,293.04 × 135,350.52
  4. Step 4: Simplify right side
    312,818.28x = 63,519,056,996.38
  5. Step 5: Solve for x
    x = 63,519,056,996.38/312,818.28
  6. Step 6: Final answer
    x = 203,054.17

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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.