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Finding the Fourth Proportional to 398,578.71, 598,152.38 and 221,227.59

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Solution

The fourth proportional to 398,578.71, 598,152.38 and 221,227.59 is: 331,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,578.71 : 598,152.38 = 221,227.59 : x
  2. Step 2: Convert to fraction form
    398,578.71/598,152.38 = 221,227.59/x
  3. Step 3: Cross multiply
    398,578.71x = 598,152.38 × 221,227.59
  4. Step 4: Simplify right side
    398,578.71x = 132,327,808,374.03
  5. Step 5: Solve for x
    x = 132,327,808,374.03/398,578.71
  6. Step 6: Final answer
    x = 331,999.19

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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.