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Finding the Fourth Proportional to 371,678.60, 512,917.08 and 201,912.86

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Solution

The fourth proportional to 371,678.60, 512,917.08 and 201,912.86 is: 278,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,678.60 : 512,917.08 = 201,912.86 : x
  2. Step 2: Convert to fraction form
    371,678.60/512,917.08 = 201,912.86/x
  3. Step 3: Cross multiply
    371,678.60x = 512,917.08 × 201,912.86
  4. Step 4: Simplify right side
    371,678.60x = 103,564,554,565.65
  5. Step 5: Solve for x
    x = 103,564,554,565.65/371,678.60
  6. Step 6: Final answer
    x = 278,640.08

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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.