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Finding the Fourth Proportional to 371,707.20, 512,953.20 and 201,942.72

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Solution

The fourth proportional to 371,707.20, 512,953.20 and 201,942.72 is: 278,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,707.20 : 512,953.20 = 201,942.72 : x
  2. Step 2: Convert to fraction form
    371,707.20/512,953.20 = 201,942.72/x
  3. Step 3: Cross multiply
    371,707.20x = 512,953.20 × 201,942.72
  4. Step 4: Simplify right side
    371,707.20x = 103,587,164,440.70
  5. Step 5: Solve for x
    x = 103,587,164,440.70/371,707.20
  6. Step 6: Final answer
    x = 278,679.47

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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.