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Finding the Fourth Proportional to 647,077.84, 970,619.15 and 197,796.96

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Solution

The fourth proportional to 647,077.84, 970,619.15 and 197,796.96 is: 296,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,077.84 : 970,619.15 = 197,796.96 : x
  2. Step 2: Convert to fraction form
    647,077.84/970,619.15 = 197,796.96/x
  3. Step 3: Cross multiply
    647,077.84x = 970,619.15 × 197,796.96
  4. Step 4: Simplify right side
    647,077.84x = 191,985,517,187.78
  5. Step 5: Solve for x
    x = 191,985,517,187.78/647,077.84
  6. Step 6: Final answer
    x = 296,696.17

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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.