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Finding the Fourth Proportional to 399,881.68, 551,837.81 and 218,595.78

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Solution

The fourth proportional to 399,881.68, 551,837.81 and 218,595.78 is: 301,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,881.68 : 551,837.81 = 218,595.78 : x
  2. Step 2: Convert to fraction form
    399,881.68/551,837.81 = 218,595.78/x
  3. Step 3: Cross multiply
    399,881.68x = 551,837.81 × 218,595.78
  4. Step 4: Simplify right side
    399,881.68x = 120,629,417,056.93
  5. Step 5: Solve for x
    x = 120,629,417,056.93/399,881.68
  6. Step 6: Final answer
    x = 301,662.78

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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.