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Finding the Fourth Proportional to 598,363.20, 897,982.20 and 421,216.20

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Solution

The fourth proportional to 598,363.20, 897,982.20 and 421,216.20 is: 632,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,363.20 : 897,982.20 = 421,216.20 : x
  2. Step 2: Convert to fraction form
    598,363.20/897,982.20 = 421,216.20/x
  3. Step 3: Cross multiply
    598,363.20x = 897,982.20 × 421,216.20
  4. Step 4: Simplify right side
    598,363.20x = 378,244,649,951.64
  5. Step 5: Solve for x
    x = 378,244,649,951.64/598,363.20
  6. Step 6: Final answer
    x = 632,132.21

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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.