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Finding the Fourth Proportional to 390,674.05, 586,033.77 and 150,789.31

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Solution

The fourth proportional to 390,674.05, 586,033.77 and 150,789.31 is: 226,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,674.05 : 586,033.77 = 150,789.31 : x
  2. Step 2: Convert to fraction form
    390,674.05/586,033.77 = 150,789.31/x
  3. Step 3: Cross multiply
    390,674.05x = 586,033.77 × 150,789.31
  4. Step 4: Simplify right side
    390,674.05x = 88,367,629,363.62
  5. Step 5: Solve for x
    x = 88,367,629,363.62/390,674.05
  6. Step 6: Final answer
    x = 226,192.73

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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.