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Finding the Fourth Proportional to 598,385.20, 898,015.20 and 421,238.20

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Solution

The fourth proportional to 598,385.20, 898,015.20 and 421,238.20 is: 632,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,385.20 : 898,015.20 = 421,238.20 : x
  2. Step 2: Convert to fraction form
    598,385.20/898,015.20 = 421,238.20/x
  3. Step 3: Cross multiply
    598,385.20x = 898,015.20 × 421,238.20
  4. Step 4: Simplify right side
    598,385.20x = 378,278,306,420.64
  5. Step 5: Solve for x
    x = 378,278,306,420.64/598,385.20
  6. Step 6: Final answer
    x = 632,165.21

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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.