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Finding the Fourth Proportional to 647,026.78, 970,540.16 and 197,748.94

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Solution

The fourth proportional to 647,026.78, 970,540.16 and 197,748.94 is: 296,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,026.78 : 970,540.16 = 197,748.94 : x
  2. Step 2: Convert to fraction form
    647,026.78/970,540.16 = 197,748.94/x
  3. Step 3: Cross multiply
    647,026.78x = 970,540.16 × 197,748.94
  4. Step 4: Simplify right side
    647,026.78x = 191,923,287,867.43
  5. Step 5: Solve for x
    x = 191,923,287,867.43/647,026.78
  6. Step 6: Final answer
    x = 296,623.41

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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.