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Finding the Fourth Proportional to 647,546.90, 971,235.30 and 198,312.80

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Solution

The fourth proportional to 647,546.90, 971,235.30 and 198,312.80 is: 297,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,546.90 : 971,235.30 = 198,312.80 : x
  2. Step 2: Convert to fraction form
    647,546.90/971,235.30 = 198,312.80/x
  3. Step 3: Cross multiply
    647,546.90x = 971,235.30 × 198,312.80
  4. Step 4: Simplify right side
    647,546.90x = 192,608,391,801.84
  5. Step 5: Solve for x
    x = 192,608,391,801.84/647,546.90
  6. Step 6: Final answer
    x = 297,443.15

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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.