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Finding the Fourth Proportional to 399,641.28, 599,445.42 and 222,035

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Solution

The fourth proportional to 399,641.28, 599,445.42 and 222,035 is: 333,043.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,641.28 : 599,445.42 = 222,035 : x
  2. Step 2: Convert to fraction form
    399,641.28/599,445.42 = 222,035/x
  3. Step 3: Cross multiply
    399,641.28x = 599,445.42 × 222,035
  4. Step 4: Simplify right side
    399,641.28x = 133,097,863,829.70
  5. Step 5: Solve for x
    x = 133,097,863,829.70/399,641.28
  6. Step 6: Final answer
    x = 333,043.33

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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.