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Finding the Fourth Proportional to 655,326.84, 983,121.48 and 206,160.78

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Solution

The fourth proportional to 655,326.84, 983,121.48 and 206,160.78 is: 309,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,326.84 : 983,121.48 = 206,160.78 : x
  2. Step 2: Convert to fraction form
    655,326.84/983,121.48 = 206,160.78/x
  3. Step 3: Cross multiply
    655,326.84x = 983,121.48 × 206,160.78
  4. Step 4: Simplify right side
    655,326.84x = 202,681,091,151.55
  5. Step 5: Solve for x
    x = 202,681,091,151.55/655,326.84
  6. Step 6: Final answer
    x = 309,282.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.