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Finding the Fourth Proportional to 402,281.40, 603,243.90 and 135,969.60

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Solution

The fourth proportional to 402,281.40, 603,243.90 and 135,969.60 is: 203,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,281.40 : 603,243.90 = 135,969.60 : x
  2. Step 2: Convert to fraction form
    402,281.40/603,243.90 = 135,969.60/x
  3. Step 3: Cross multiply
    402,281.40x = 603,243.90 × 135,969.60
  4. Step 4: Simplify right side
    402,281.40x = 82,022,831,785.44
  5. Step 5: Solve for x
    x = 82,022,831,785.44/402,281.40
  6. Step 6: Final answer
    x = 203,894.17

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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.