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Finding the Fourth Proportional to 398,577.60, 598,216.32 and 221,284.80

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Solution

The fourth proportional to 398,577.60, 598,216.32 and 221,284.80 is: 332,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,577.60 : 598,216.32 = 221,284.80 : x
  2. Step 2: Convert to fraction form
    398,577.60/598,216.32 = 221,284.80/x
  3. Step 3: Cross multiply
    398,577.60x = 598,216.32 × 221,284.80
  4. Step 4: Simplify right side
    398,577.60x = 132,376,178,727.94
  5. Step 5: Solve for x
    x = 132,376,178,727.94/398,577.60
  6. Step 6: Final answer
    x = 332,121.47

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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.