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Finding the Fourth Proportional to 721,957.40, 996,406.31 and 415,974.69

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Solution

The fourth proportional to 721,957.40, 996,406.31 and 415,974.69 is: 574,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,957.40 : 996,406.31 = 415,974.69 : x
  2. Step 2: Convert to fraction form
    721,957.40/996,406.31 = 415,974.69/x
  3. Step 3: Cross multiply
    721,957.40x = 996,406.31 × 415,974.69
  4. Step 4: Simplify right side
    721,957.40x = 414,479,806,956.23
  5. Step 5: Solve for x
    x = 414,479,806,956.23/721,957.40
  6. Step 6: Final answer
    x = 574,105.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.