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Finding the Fourth Proportional to 371,591.76, 512,793.80 and 201,827.10

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Solution

The fourth proportional to 371,591.76, 512,793.80 and 201,827.10 is: 278,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,591.76 : 512,793.80 = 201,827.10 : x
  2. Step 2: Convert to fraction form
    371,591.76/512,793.80 = 201,827.10/x
  3. Step 3: Cross multiply
    371,591.76x = 512,793.80 × 201,827.10
  4. Step 4: Simplify right side
    371,591.76x = 103,495,685,551.98
  5. Step 5: Solve for x
    x = 103,495,685,551.98/371,591.76
  6. Step 6: Final answer
    x = 278,519.86

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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.