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Finding the Fourth Proportional to 402,254.40, 603,203.40 and 135,942.60

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Solution

The fourth proportional to 402,254.40, 603,203.40 and 135,942.60 is: 203,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,254.40 : 603,203.40 = 135,942.60 : x
  2. Step 2: Convert to fraction form
    402,254.40/603,203.40 = 135,942.60/x
  3. Step 3: Cross multiply
    402,254.40x = 603,203.40 × 135,942.60
  4. Step 4: Simplify right side
    402,254.40x = 82,001,038,524.84
  5. Step 5: Solve for x
    x = 82,001,038,524.84/402,254.40
  6. Step 6: Final answer
    x = 203,853.68

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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.