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Finding the Fourth Proportional to 348,709.97, 522,565.88 and 198,640.20

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Solution

The fourth proportional to 348,709.97, 522,565.88 and 198,640.20 is: 297,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,709.97 : 522,565.88 = 198,640.20 : x
  2. Step 2: Convert to fraction form
    348,709.97/522,565.88 = 198,640.20/x
  3. Step 3: Cross multiply
    348,709.97x = 522,565.88 × 198,640.20
  4. Step 4: Simplify right side
    348,709.97x = 103,802,589,923.18
  5. Step 5: Solve for x
    x = 103,802,589,923.18/348,709.97
  6. Step 6: Final answer
    x = 297,676.00

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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.