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Finding the Fourth Proportional to 720,096, 1,079,560.80 and 299,686.56

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Solution

The fourth proportional to 720,096, 1,079,560.80 and 299,686.56 is: 449,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,096 : 1,079,560.80 = 299,686.56 : x
  2. Step 2: Convert to fraction form
    720,096/1,079,560.80 = 299,686.56/x
  3. Step 3: Cross multiply
    720,096x = 1,079,560.80 × 299,686.56
  4. Step 4: Simplify right side
    720,096x = 323,529,862,462.85
  5. Step 5: Solve for x
    x = 323,529,862,462.85/720,096
  6. Step 6: Final answer
    x = 449,287.13

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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.