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Finding the Fourth Proportional to 411,501.28, 618,287.10 and 261,808.42

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Solution

The fourth proportional to 411,501.28, 618,287.10 and 261,808.42 is: 393,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,501.28 : 618,287.10 = 261,808.42 : x
  2. Step 2: Convert to fraction form
    411,501.28/618,287.10 = 261,808.42/x
  3. Step 3: Cross multiply
    411,501.28x = 618,287.10 × 261,808.42
  4. Step 4: Simplify right side
    411,501.28x = 161,872,768,757.38
  5. Step 5: Solve for x
    x = 161,872,768,757.38/411,501.28
  6. Step 6: Final answer
    x = 393,371.24

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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.