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Finding the Fourth Proportional to 402,258.40, 603,209.40 and 135,946.60

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Solution

The fourth proportional to 402,258.40, 603,209.40 and 135,946.60 is: 203,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,258.40 : 603,209.40 = 135,946.60 : x
  2. Step 2: Convert to fraction form
    402,258.40/603,209.40 = 135,946.60/x
  3. Step 3: Cross multiply
    402,258.40x = 603,209.40 × 135,946.60
  4. Step 4: Simplify right side
    402,258.40x = 82,004,267,018.04
  5. Step 5: Solve for x
    x = 82,004,267,018.04/402,258.40
  6. Step 6: Final answer
    x = 203,859.68

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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.