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Finding the Fourth Proportional to 646,374.89, 970,005.20 and 225,650.76

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Solution

The fourth proportional to 646,374.89, 970,005.20 and 225,650.76 is: 338,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,374.89 : 970,005.20 = 225,650.76 : x
  2. Step 2: Convert to fraction form
    646,374.89/970,005.20 = 225,650.76/x
  3. Step 3: Cross multiply
    646,374.89x = 970,005.20 × 225,650.76
  4. Step 4: Simplify right side
    646,374.89x = 218,882,409,455.70
  5. Step 5: Solve for x
    x = 218,882,409,455.70/646,374.89
  6. Step 6: Final answer
    x = 338,630.75

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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.