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Finding the Fourth Proportional to 399,703.86, 551,592.79 and 218,415.81

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Solution

The fourth proportional to 399,703.86, 551,592.79 and 218,415.81 is: 301,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,703.86 : 551,592.79 = 218,415.81 : x
  2. Step 2: Convert to fraction form
    399,703.86/551,592.79 = 218,415.81/x
  3. Step 3: Cross multiply
    399,703.86x = 551,592.79 × 218,415.81
  4. Step 4: Simplify right side
    399,703.86x = 120,476,586,915.74
  5. Step 5: Solve for x
    x = 120,476,586,915.74/399,703.86
  6. Step 6: Final answer
    x = 301,414.62

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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.