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Finding the Fourth Proportional to 331,608.20, 497,120.70 and 198,541.40

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Solution

The fourth proportional to 331,608.20, 497,120.70 and 198,541.40 is: 297,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,608.20 : 497,120.70 = 198,541.40 : x
  2. Step 2: Convert to fraction form
    331,608.20/497,120.70 = 198,541.40/x
  3. Step 3: Cross multiply
    331,608.20x = 497,120.70 × 198,541.40
  4. Step 4: Simplify right side
    331,608.20x = 98,699,039,746.98
  5. Step 5: Solve for x
    x = 98,699,039,746.98/331,608.20
  6. Step 6: Final answer
    x = 297,637.51

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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.