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Finding the Fourth Proportional to 647,788.80, 971,756.10 and 198,506.10

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Solution

The fourth proportional to 647,788.80, 971,756.10 and 198,506.10 is: 297,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,788.80 : 971,756.10 = 198,506.10 : x
  2. Step 2: Convert to fraction form
    647,788.80/971,756.10 = 198,506.10/x
  3. Step 3: Cross multiply
    647,788.80x = 971,756.10 × 198,506.10
  4. Step 4: Simplify right side
    647,788.80x = 192,899,513,562.21
  5. Step 5: Solve for x
    x = 192,899,513,562.21/647,788.80
  6. Step 6: Final answer
    x = 297,781.49

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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.