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Finding the Fourth Proportional to 646,791.40, 970,332.54 and 197,474.68

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Solution

The fourth proportional to 646,791.40, 970,332.54 and 197,474.68 is: 296,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,791.40 : 970,332.54 = 197,474.68 : x
  2. Step 2: Convert to fraction form
    646,791.40/970,332.54 = 197,474.68/x
  3. Step 3: Cross multiply
    646,791.40x = 970,332.54 × 197,474.68
  4. Step 4: Simplify right side
    646,791.40x = 191,616,107,830.09
  5. Step 5: Solve for x
    x = 191,616,107,830.09/646,791.40
  6. Step 6: Final answer
    x = 296,256.42

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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.