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Finding the Fourth Proportional to 399,974.50, 551,965.80 and 218,698.14

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Solution

The fourth proportional to 399,974.50, 551,965.80 and 218,698.14 is: 301,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,974.50 : 551,965.80 = 218,698.14 : x
  2. Step 2: Convert to fraction form
    399,974.50/551,965.80 = 218,698.14/x
  3. Step 3: Cross multiply
    399,974.50x = 551,965.80 × 218,698.14
  4. Step 4: Simplify right side
    399,974.50x = 120,713,893,803.61
  5. Step 5: Solve for x
    x = 120,713,893,803.61/399,974.50
  6. Step 6: Final answer
    x = 301,803.97

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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.