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Finding the Fourth Proportional to 491,777.28, 738,604.80 and 281,825.28

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Solution

The fourth proportional to 491,777.28, 738,604.80 and 281,825.28 is: 423,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,777.28 : 738,604.80 = 281,825.28 : x
  2. Step 2: Convert to fraction form
    491,777.28/738,604.80 = 281,825.28/x
  3. Step 3: Cross multiply
    491,777.28x = 738,604.80 × 281,825.28
  4. Step 4: Simplify right side
    491,777.28x = 208,157,504,569.34
  5. Step 5: Solve for x
    x = 208,157,504,569.34/491,777.28
  6. Step 6: Final answer
    x = 423,275.97

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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.