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Finding the Fourth Proportional to 372,322.85, 513,789.32 and 206,740.50

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Solution

The fourth proportional to 372,322.85, 513,789.32 and 206,740.50 is: 285,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,322.85 : 513,789.32 = 206,740.50 : x
  2. Step 2: Convert to fraction form
    372,322.85/513,789.32 = 206,740.50/x
  3. Step 3: Cross multiply
    372,322.85x = 513,789.32 × 206,740.50
  4. Step 4: Simplify right side
    372,322.85x = 106,221,057,308.81
  5. Step 5: Solve for x
    x = 106,221,057,308.81/372,322.85
  6. Step 6: Final answer
    x = 285,292.88

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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.