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Finding the Fourth Proportional to 516,766.45, 775,099.52 and 156,940.40

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Solution

The fourth proportional to 516,766.45, 775,099.52 and 156,940.40 is: 235,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,766.45 : 775,099.52 = 156,940.40 : x
  2. Step 2: Convert to fraction form
    516,766.45/775,099.52 = 156,940.40/x
  3. Step 3: Cross multiply
    516,766.45x = 775,099.52 × 156,940.40
  4. Step 4: Simplify right side
    516,766.45x = 121,644,428,708.61
  5. Step 5: Solve for x
    x = 121,644,428,708.61/516,766.45
  6. Step 6: Final answer
    x = 235,395.37

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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.