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Finding the Fourth Proportional to 647,129.47, 970,696.77 and 197,848.39

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Solution

The fourth proportional to 647,129.47, 970,696.77 and 197,848.39 is: 296,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,129.47 : 970,696.77 = 197,848.39 : x
  2. Step 2: Convert to fraction form
    647,129.47/970,696.77 = 197,848.39/x
  3. Step 3: Cross multiply
    647,129.47x = 970,696.77 × 197,848.39
  4. Step 4: Simplify right side
    647,129.47x = 192,050,793,122.70
  5. Step 5: Solve for x
    x = 192,050,793,122.70/647,129.47
  6. Step 6: Final answer
    x = 296,773.37

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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.