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Finding the Fourth Proportional to 399,871.57, 551,822.62 and 218,584.20

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Solution

The fourth proportional to 399,871.57, 551,822.62 and 218,584.20 is: 301,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,871.57 : 551,822.62 = 218,584.20 : x
  2. Step 2: Convert to fraction form
    399,871.57/551,822.62 = 218,584.20/x
  3. Step 3: Cross multiply
    399,871.57x = 551,822.62 × 218,584.20
  4. Step 4: Simplify right side
    399,871.57x = 120,619,705,934.60
  5. Step 5: Solve for x
    x = 120,619,705,934.60/399,871.57
  6. Step 6: Final answer
    x = 301,646.12

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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.