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Finding the Fourth Proportional to 647,074.90, 970,527.30 and 197,840.80

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Solution

The fourth proportional to 647,074.90, 970,527.30 and 197,840.80 is: 296,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,074.90 : 970,527.30 = 197,840.80 : x
  2. Step 2: Convert to fraction form
    647,074.90/970,527.30 = 197,840.80/x
  3. Step 3: Cross multiply
    647,074.90x = 970,527.30 × 197,840.80
  4. Step 4: Simplify right side
    647,074.90x = 192,009,897,453.84
  5. Step 5: Solve for x
    x = 192,009,897,453.84/647,074.90
  6. Step 6: Final answer
    x = 296,735.20

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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.