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Finding the Fourth Proportional to 266,335,806.40, 399,432,850.80 and 82,102,926.40

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Solution

The fourth proportional to 266,335,806.40, 399,432,850.80 and 82,102,926.40 is: 123,132,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,335,806.40 : 399,432,850.80 = 82,102,926.40 : x
  2. Step 2: Convert to fraction form
    266,335,806.40/399,432,850.80 = 82,102,926.40/x
  3. Step 3: Cross multiply
    266,335,806.40x = 399,432,850.80 × 82,102,926.40
  4. Step 4: Simplify right side
    266,335,806.40x = 32,794,605,950,974,584
  5. Step 5: Solve for x
    x = 32,794,605,950,974,584/266,335,806.40
  6. Step 6: Final answer
    x = 123,132,546.07

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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.