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Finding the Fourth Proportional to 371,522, 512,695.82 and 201,757.34

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Solution

The fourth proportional to 371,522, 512,695.82 and 201,757.34 is: 278,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,522 : 512,695.82 = 201,757.34 : x
  2. Step 2: Convert to fraction form
    371,522/512,695.82 = 201,757.34/x
  3. Step 3: Cross multiply
    371,522x = 512,695.82 × 201,757.34
  4. Step 4: Simplify right side
    371,522x = 103,440,144,872.32
  5. Step 5: Solve for x
    x = 103,440,144,872.32/371,522
  6. Step 6: Final answer
    x = 278,422.66

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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.