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Finding the Fourth Proportional to 390,496.23, 585,832.26 and 137,794.73

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Solution

The fourth proportional to 390,496.23, 585,832.26 and 137,794.73 is: 206,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,496.23 : 585,832.26 = 137,794.73 : x
  2. Step 2: Convert to fraction form
    390,496.23/585,832.26 = 137,794.73/x
  3. Step 3: Cross multiply
    390,496.23x = 585,832.26 × 137,794.73
  4. Step 4: Simplify right side
    390,496.23x = 80,724,595,162.83
  5. Step 5: Solve for x
    x = 80,724,595,162.83/390,496.23
  6. Step 6: Final answer
    x = 206,723.11

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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.