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Finding the Fourth Proportional to 647,565.90, 971,263.80 and 198,331.80

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Solution

The fourth proportional to 647,565.90, 971,263.80 and 198,331.80 is: 297,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,565.90 : 971,263.80 = 198,331.80 : x
  2. Step 2: Convert to fraction form
    647,565.90/971,263.80 = 198,331.80/x
  3. Step 3: Cross multiply
    647,565.90x = 971,263.80 × 198,331.80
  4. Step 4: Simplify right side
    647,565.90x = 192,632,497,728.84
  5. Step 5: Solve for x
    x = 192,632,497,728.84/647,565.90
  6. Step 6: Final answer
    x = 297,471.65

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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.