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Finding the Fourth Proportional to 442,125.68, 662,633.73 and 189,109.22

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Solution

The fourth proportional to 442,125.68, 662,633.73 and 189,109.22 is: 283,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,125.68 : 662,633.73 = 189,109.22 : x
  2. Step 2: Convert to fraction form
    442,125.68/662,633.73 = 189,109.22/x
  3. Step 3: Cross multiply
    442,125.68x = 662,633.73 × 189,109.22
  4. Step 4: Simplify right side
    442,125.68x = 125,310,144,512.82
  5. Step 5: Solve for x
    x = 125,310,144,512.82/442,125.68
  6. Step 6: Final answer
    x = 283,426.53

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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.