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Finding the Fourth Proportional to 342,858.63, 514,321.80 and 118,189.47

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Solution

The fourth proportional to 342,858.63, 514,321.80 and 118,189.47 is: 177,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,858.63 : 514,321.80 = 118,189.47 : x
  2. Step 2: Convert to fraction form
    342,858.63/514,321.80 = 118,189.47/x
  3. Step 3: Cross multiply
    342,858.63x = 514,321.80 × 118,189.47
  4. Step 4: Simplify right side
    342,858.63x = 60,787,420,951.45
  5. Step 5: Solve for x
    x = 60,787,420,951.45/342,858.63
  6. Step 6: Final answer
    x = 177,295.88

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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.