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Finding the Fourth Proportional to 647,810.40, 971,715.60 and 198,527.70

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Solution

The fourth proportional to 647,810.40, 971,715.60 and 198,527.70 is: 297,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,810.40 : 971,715.60 = 198,527.70 : x
  2. Step 2: Convert to fraction form
    647,810.40/971,715.60 = 198,527.70/x
  3. Step 3: Cross multiply
    647,810.40x = 971,715.60 × 198,527.70
  4. Step 4: Simplify right side
    647,810.40x = 192,912,463,122.12
  5. Step 5: Solve for x
    x = 192,912,463,122.12/647,810.40
  6. Step 6: Final answer
    x = 297,791.55

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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.