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Finding the Fourth Proportional to 646,793.40, 970,335.54 and 197,476.68

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Solution

The fourth proportional to 646,793.40, 970,335.54 and 197,476.68 is: 296,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,793.40 : 970,335.54 = 197,476.68 : x
  2. Step 2: Convert to fraction form
    646,793.40/970,335.54 = 197,476.68/x
  3. Step 3: Cross multiply
    646,793.40x = 970,335.54 × 197,476.68
  4. Step 4: Simplify right side
    646,793.40x = 191,618,640,925.21
  5. Step 5: Solve for x
    x = 191,618,640,925.21/646,793.40
  6. Step 6: Final answer
    x = 296,259.43

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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.