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Finding the Fourth Proportional to 647,470.74, 971,171.46 and 198,191.82

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Solution

The fourth proportional to 647,470.74, 971,171.46 and 198,191.82 is: 297,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,470.74 : 971,171.46 = 198,191.82 : x
  2. Step 2: Convert to fraction form
    647,470.74/971,171.46 = 198,191.82/x
  3. Step 3: Cross multiply
    647,470.74x = 971,171.46 × 198,191.82
  4. Step 4: Simplify right side
    647,470.74x = 192,478,239,189.46
  5. Step 5: Solve for x
    x = 192,478,239,189.46/647,470.74
  6. Step 6: Final answer
    x = 297,277.12

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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.