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Finding the Fourth Proportional to 407,770.25, 612,029.05 and 218,444.39

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Solution

The fourth proportional to 407,770.25, 612,029.05 and 218,444.39 is: 327,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,770.25 : 612,029.05 = 218,444.39 : x
  2. Step 2: Convert to fraction form
    407,770.25/612,029.05 = 218,444.39/x
  3. Step 3: Cross multiply
    407,770.25x = 612,029.05 × 218,444.39
  4. Step 4: Simplify right side
    407,770.25x = 133,694,314,160.26
  5. Step 5: Solve for x
    x = 133,694,314,160.26/407,770.25
  6. Step 6: Final answer
    x = 327,866.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.