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Finding the Fourth Proportional to 315,348.38, 435,114.25 and 200,585.25

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Solution

The fourth proportional to 315,348.38, 435,114.25 and 200,585.25 is: 276,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,348.38 : 435,114.25 = 200,585.25 : x
  2. Step 2: Convert to fraction form
    315,348.38/435,114.25 = 200,585.25/x
  3. Step 3: Cross multiply
    315,348.38x = 435,114.25 × 200,585.25
  4. Step 4: Simplify right side
    315,348.38x = 87,277,500,113.35
  5. Step 5: Solve for x
    x = 87,277,500,113.35/315,348.38
  6. Step 6: Final answer
    x = 276,765.34

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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.