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Finding the Fourth Proportional to 390,162.58, 585,243.87 and 109,679.83

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Solution

The fourth proportional to 390,162.58, 585,243.87 and 109,679.83 is: 164,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,162.58 : 585,243.87 = 109,679.83 : x
  2. Step 2: Convert to fraction form
    390,162.58/585,243.87 = 109,679.83/x
  3. Step 3: Cross multiply
    390,162.58x = 585,243.87 × 109,679.83
  4. Step 4: Simplify right side
    390,162.58x = 64,189,446,295.73
  5. Step 5: Solve for x
    x = 64,189,446,295.73/390,162.58
  6. Step 6: Final answer
    x = 164,519.74

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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.