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Finding the Fourth Proportional to 647,076.34, 970,616.90 and 197,795.47

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Solution

The fourth proportional to 647,076.34, 970,616.90 and 197,795.47 is: 296,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,076.34 : 970,616.90 = 197,795.47 : x
  2. Step 2: Convert to fraction form
    647,076.34/970,616.90 = 197,795.47/x
  3. Step 3: Cross multiply
    647,076.34x = 970,616.90 × 197,795.47
  4. Step 4: Simplify right side
    647,076.34x = 191,983,620,083.38
  5. Step 5: Solve for x
    x = 191,983,620,083.38/647,076.34
  6. Step 6: Final answer
    x = 296,693.93

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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.