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Finding the Fourth Proportional to 598,348.80, 897,328.80 and 198,921.60

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Solution

The fourth proportional to 598,348.80, 897,328.80 and 198,921.60 is: 298,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,348.80 : 897,328.80 = 198,921.60 : x
  2. Step 2: Convert to fraction form
    598,348.80/897,328.80 = 198,921.60/x
  3. Step 3: Cross multiply
    598,348.80x = 897,328.80 × 198,921.60
  4. Step 4: Simplify right side
    598,348.80x = 178,498,080,622.08
  5. Step 5: Solve for x
    x = 178,498,080,622.08/598,348.80
  6. Step 6: Final answer
    x = 298,317.77

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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.