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Finding the Fourth Proportional to 394,988.32, 592,342.36 and 142,200.94

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Solution

The fourth proportional to 394,988.32, 592,342.36 and 142,200.94 is: 213,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,988.32 : 592,342.36 = 142,200.94 : x
  2. Step 2: Convert to fraction form
    394,988.32/592,342.36 = 142,200.94/x
  3. Step 3: Cross multiply
    394,988.32x = 592,342.36 × 142,200.94
  4. Step 4: Simplify right side
    394,988.32x = 84,231,638,912.96
  5. Step 5: Solve for x
    x = 84,231,638,912.96/394,988.32
  6. Step 6: Final answer
    x = 213,250.96

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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.