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Finding the Fourth Proportional to 272,326.55, 408,492.80 and 82,817.74

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Solution

The fourth proportional to 272,326.55, 408,492.80 and 82,817.74 is: 124,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,326.55 : 408,492.80 = 82,817.74 : x
  2. Step 2: Convert to fraction form
    272,326.55/408,492.80 = 82,817.74/x
  3. Step 3: Cross multiply
    272,326.55x = 408,492.80 × 82,817.74
  4. Step 4: Simplify right side
    272,326.55x = 33,830,448,045.72
  5. Step 5: Solve for x
    x = 33,830,448,045.72/272,326.55
  6. Step 6: Final answer
    x = 124,227.51

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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.