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Finding the Fourth Proportional to 398,708.78, 550,208.10 and 217,424.20

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Solution

The fourth proportional to 398,708.78, 550,208.10 and 217,424.20 is: 300,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,708.78 : 550,208.10 = 217,424.20 : x
  2. Step 2: Convert to fraction form
    398,708.78/550,208.10 = 217,424.20/x
  3. Step 3: Cross multiply
    398,708.78x = 550,208.10 × 217,424.20
  4. Step 4: Simplify right side
    398,708.78x = 119,628,555,976.02
  5. Step 5: Solve for x
    x = 119,628,555,976.02/398,708.78
  6. Step 6: Final answer
    x = 300,039.93

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1.5x scale

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.