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Finding the Fourth Proportional to 402,412.42, 603,243.42 and 135,986.61

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Solution

The fourth proportional to 402,412.42, 603,243.42 and 135,986.61 is: 203,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,412.42 : 603,243.42 = 135,986.61 : x
  2. Step 2: Convert to fraction form
    402,412.42/603,243.42 = 135,986.61/x
  3. Step 3: Cross multiply
    402,412.42x = 603,243.42 × 135,986.61
  4. Step 4: Simplify right side
    402,412.42x = 82,033,027,690.61
  5. Step 5: Solve for x
    x = 82,033,027,690.61/402,412.42
  6. Step 6: Final answer
    x = 203,853.12

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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.