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Finding the Fourth Proportional to 319,451.55, 440,984.84 and 206,329.47

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Solution

The fourth proportional to 319,451.55, 440,984.84 and 206,329.47 is: 284,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,451.55 : 440,984.84 = 206,329.47 : x
  2. Step 2: Convert to fraction form
    319,451.55/440,984.84 = 206,329.47/x
  3. Step 3: Cross multiply
    319,451.55x = 440,984.84 × 206,329.47
  4. Step 4: Simplify right side
    319,451.55x = 90,988,167,283.59
  5. Step 5: Solve for x
    x = 90,988,167,283.59/319,451.55
  6. Step 6: Final answer
    x = 284,826.19

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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.