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Finding the Fourth Proportional to 315,273.60, 435,038.40 and 200,565.44

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Solution

The fourth proportional to 315,273.60, 435,038.40 and 200,565.44 is: 276,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,273.60 : 435,038.40 = 200,565.44 : x
  2. Step 2: Convert to fraction form
    315,273.60/435,038.40 = 200,565.44/x
  3. Step 3: Cross multiply
    315,273.60x = 435,038.40 × 200,565.44
  4. Step 4: Simplify right side
    315,273.60x = 87,253,668,112.90
  5. Step 5: Solve for x
    x = 87,253,668,112.90/315,273.60
  6. Step 6: Final answer
    x = 276,755.39

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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.