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Finding the Fourth Proportional to 318,062.28, 438,749.78 and 201,562.40

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Solution

The fourth proportional to 318,062.28, 438,749.78 and 201,562.40 is: 278,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,062.28 : 438,749.78 = 201,562.40 : x
  2. Step 2: Convert to fraction form
    318,062.28/438,749.78 = 201,562.40/x
  3. Step 3: Cross multiply
    318,062.28x = 438,749.78 × 201,562.40
  4. Step 4: Simplify right side
    318,062.28x = 88,435,458,656.27
  5. Step 5: Solve for x
    x = 88,435,458,656.27/318,062.28
  6. Step 6: Final answer
    x = 278,044.47

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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.