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Finding the Fourth Proportional to 442,104.68, 662,601.90 and 189,087.50

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Solution

The fourth proportional to 442,104.68, 662,601.90 and 189,087.50 is: 283,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,104.68 : 662,601.90 = 189,087.50 : x
  2. Step 2: Convert to fraction form
    442,104.68/662,601.90 = 189,087.50/x
  3. Step 3: Cross multiply
    442,104.68x = 662,601.90 × 189,087.50
  4. Step 4: Simplify right side
    442,104.68x = 125,289,736,766.25
  5. Step 5: Solve for x
    x = 125,289,736,766.25/442,104.68
  6. Step 6: Final answer
    x = 283,393.83

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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.