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Finding the Fourth Proportional to 299,316.28, 413,124.08 and 203,861

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Solution

The fourth proportional to 299,316.28, 413,124.08 and 203,861 is: 281,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,316.28 : 413,124.08 = 203,861 : x
  2. Step 2: Convert to fraction form
    299,316.28/413,124.08 = 203,861/x
  3. Step 3: Cross multiply
    299,316.28x = 413,124.08 × 203,861
  4. Step 4: Simplify right side
    299,316.28x = 84,219,888,072.88
  5. Step 5: Solve for x
    x = 84,219,888,072.88/299,316.28
  6. Step 6: Final answer
    x = 281,374.23

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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.