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Finding the Fourth Proportional to 315,476.70, 435,291.36 and 200,713.92

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Solution

The fourth proportional to 315,476.70, 435,291.36 and 200,713.92 is: 276,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,476.70 : 435,291.36 = 200,713.92 : x
  2. Step 2: Convert to fraction form
    315,476.70/435,291.36 = 200,713.92/x
  3. Step 3: Cross multiply
    315,476.70x = 435,291.36 × 200,713.92
  4. Step 4: Simplify right side
    315,476.70x = 87,369,035,207.73
  5. Step 5: Solve for x
    x = 87,369,035,207.73/315,476.70
  6. Step 6: Final answer
    x = 276,942.91

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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.