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Finding the Fourth Proportional to 388,771.14, 582,756.83 and 148,828.54

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Solution

The fourth proportional to 388,771.14, 582,756.83 and 148,828.54 is: 223,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,771.14 : 582,756.83 = 148,828.54 : x
  2. Step 2: Convert to fraction form
    388,771.14/582,756.83 = 148,828.54/x
  3. Step 3: Cross multiply
    388,771.14x = 582,756.83 × 148,828.54
  4. Step 4: Simplify right side
    388,771.14x = 86,730,847,633.67
  5. Step 5: Solve for x
    x = 86,730,847,633.67/388,771.14
  6. Step 6: Final answer
    x = 223,089.73

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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.