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Finding the Fourth Proportional to 315,834.72, 435,896.36 and 201,076.70

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Solution

The fourth proportional to 315,834.72, 435,896.36 and 201,076.70 is: 277,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,834.72 : 435,896.36 = 201,076.70 : x
  2. Step 2: Convert to fraction form
    315,834.72/435,896.36 = 201,076.70/x
  3. Step 3: Cross multiply
    315,834.72x = 435,896.36 × 201,076.70
  4. Step 4: Simplify right side
    315,834.72x = 87,648,604,397.57
  5. Step 5: Solve for x
    x = 87,648,604,397.57/315,834.72
  6. Step 6: Final answer
    x = 277,514.15

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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.