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Finding the Fourth Proportional to 399,971.20, 551,960 and 218,683.84

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Solution

The fourth proportional to 399,971.20, 551,960 and 218,683.84 is: 301,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,971.20 : 551,960 = 218,683.84 : x
  2. Step 2: Convert to fraction form
    399,971.20/551,960 = 218,683.84/x
  3. Step 3: Cross multiply
    399,971.20x = 551,960 × 218,683.84
  4. Step 4: Simplify right side
    399,971.20x = 120,704,732,326.40
  5. Step 5: Solve for x
    x = 120,704,732,326.40/399,971.20
  6. Step 6: Final answer
    x = 301,783.56

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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.