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Finding the Fourth Proportional to 228,945.80, 343,258.70 and 135,403.40

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Solution

The fourth proportional to 228,945.80, 343,258.70 and 135,403.40 is: 203,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,945.80 : 343,258.70 = 135,403.40 : x
  2. Step 2: Convert to fraction form
    228,945.80/343,258.70 = 135,403.40/x
  3. Step 3: Cross multiply
    228,945.80x = 343,258.70 × 135,403.40
  4. Step 4: Simplify right side
    228,945.80x = 46,478,395,059.58
  5. Step 5: Solve for x
    x = 46,478,395,059.58/228,945.80
  6. Step 6: Final answer
    x = 203,010.47

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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.