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Finding the Fourth Proportional to 647,347.80, 970,986.56 and 198,068.72

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Solution

The fourth proportional to 647,347.80, 970,986.56 and 198,068.72 is: 297,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,347.80 : 970,986.56 = 198,068.72 : x
  2. Step 2: Convert to fraction form
    647,347.80/970,986.56 = 198,068.72/x
  3. Step 3: Cross multiply
    647,347.80x = 970,986.56 × 198,068.72
  4. Step 4: Simplify right side
    647,347.80x = 192,322,065,076.40
  5. Step 5: Solve for x
    x = 192,322,065,076.40/647,347.80
  6. Step 6: Final answer
    x = 297,092.33

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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.