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Finding the Fourth Proportional to 349,766,647.65, 482,503,634.82 and 208,538,264.97

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Solution

The fourth proportional to 349,766,647.65, 482,503,634.82 and 208,538,264.97 is: 287,678,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,766,647.65 : 482,503,634.82 = 208,538,264.97 : x
  2. Step 2: Convert to fraction form
    349,766,647.65/482,503,634.82 = 208,538,264.97/x
  3. Step 3: Cross multiply
    349,766,647.65x = 482,503,634.82 × 208,538,264.97
  4. Step 4: Simplify right side
    349,766,647.65x = 100,620,470,847,081,280
  5. Step 5: Solve for x
    x = 100,620,470,847,081,280/349,766,647.65
  6. Step 6: Final answer
    x = 287,678,861.10

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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.