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Finding the Fourth Proportional to 490,704.56, 736,056.78 and 158,280.56

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Solution

The fourth proportional to 490,704.56, 736,056.78 and 158,280.56 is: 237,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,704.56 : 736,056.78 = 158,280.56 : x
  2. Step 2: Convert to fraction form
    490,704.56/736,056.78 = 158,280.56/x
  3. Step 3: Cross multiply
    490,704.56x = 736,056.78 × 158,280.56
  4. Step 4: Simplify right side
    490,704.56x = 116,503,479,330.20
  5. Step 5: Solve for x
    x = 116,503,479,330.20/490,704.56
  6. Step 6: Final answer
    x = 237,420.82

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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.