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Finding the Fourth Proportional to 610,926.30, 843,078.78 and 338,993.10

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Solution

The fourth proportional to 610,926.30, 843,078.78 and 338,993.10 is: 467,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,926.30 : 843,078.78 = 338,993.10 : x
  2. Step 2: Convert to fraction form
    610,926.30/843,078.78 = 338,993.10/x
  3. Step 3: Cross multiply
    610,926.30x = 843,078.78 × 338,993.10
  4. Step 4: Simplify right side
    610,926.30x = 285,797,889,176.42
  5. Step 5: Solve for x
    x = 285,797,889,176.42/610,926.30
  6. Step 6: Final answer
    x = 467,810.75

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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.