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Finding the Fourth Proportional to 315,677.42, 435,778.25 and 201,113.17

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Solution

The fourth proportional to 315,677.42, 435,778.25 and 201,113.17 is: 277,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,677.42 : 435,778.25 = 201,113.17 : x
  2. Step 2: Convert to fraction form
    315,677.42/435,778.25 = 201,113.17/x
  3. Step 3: Cross multiply
    315,677.42x = 435,778.25 × 201,113.17
  4. Step 4: Simplify right side
    315,677.42x = 87,640,744,687.89
  5. Step 5: Solve for x
    x = 87,640,744,687.89/315,677.42
  6. Step 6: Final answer
    x = 277,627.54

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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.