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Finding the Fourth Proportional to 312,242.38, 430,788.75 and 203,296.97

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Solution

The fourth proportional to 312,242.38, 430,788.75 and 203,296.97 is: 280,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,242.38 : 430,788.75 = 203,296.97 : x
  2. Step 2: Convert to fraction form
    312,242.38/430,788.75 = 203,296.97/x
  3. Step 3: Cross multiply
    312,242.38x = 430,788.75 × 203,296.97
  4. Step 4: Simplify right side
    312,242.38x = 87,578,047,585.09
  5. Step 5: Solve for x
    x = 87,578,047,585.09/312,242.38
  6. Step 6: Final answer
    x = 280,480.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.