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Finding the Fourth Proportional to 398,870.52, 550,451.67 and 217,585.50

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Solution

The fourth proportional to 398,870.52, 550,451.67 and 217,585.50 is: 300,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,870.52 : 550,451.67 = 217,585.50 : x
  2. Step 2: Convert to fraction form
    398,870.52/550,451.67 = 217,585.50/x
  3. Step 3: Cross multiply
    398,870.52x = 550,451.67 × 217,585.50
  4. Step 4: Simplify right side
    398,870.52x = 119,770,301,842.79
  5. Step 5: Solve for x
    x = 119,770,301,842.79/398,870.52
  6. Step 6: Final answer
    x = 300,273.64

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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.