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Finding the Fourth Proportional to 218,644,867.80, 328,093,272.90 and 82,428,010.20

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Solution

The fourth proportional to 218,644,867.80, 328,093,272.90 and 82,428,010.20 is: 123,689,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,644,867.80 : 328,093,272.90 = 82,428,010.20 : x
  2. Step 2: Convert to fraction form
    218,644,867.80/328,093,272.90 = 82,428,010.20/x
  3. Step 3: Cross multiply
    218,644,867.80x = 328,093,272.90 × 82,428,010.20
  4. Step 4: Simplify right side
    218,644,867.80x = 27,044,075,645,152,584
  5. Step 5: Solve for x
    x = 27,044,075,645,152,584/218,644,867.80
  6. Step 6: Final answer
    x = 123,689,505.81

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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.