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Finding the Fourth Proportional to 390,222.48, 585,333.87 and 109,739.73

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Solution

The fourth proportional to 390,222.48, 585,333.87 and 109,739.73 is: 164,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,222.48 : 585,333.87 = 109,739.73 : x
  2. Step 2: Convert to fraction form
    390,222.48/585,333.87 = 109,739.73/x
  3. Step 3: Cross multiply
    390,222.48x = 585,333.87 × 109,739.73
  4. Step 4: Simplify right side
    390,222.48x = 64,234,380,853.66
  5. Step 5: Solve for x
    x = 64,234,380,853.66/390,222.48
  6. Step 6: Final answer
    x = 164,609.64

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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.