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Finding the Fourth Proportional to 228,502.28, 342,795.58 and 76,684.39

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Solution

The fourth proportional to 228,502.28, 342,795.58 and 76,684.39 is: 115,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,502.28 : 342,795.58 = 76,684.39 : x
  2. Step 2: Convert to fraction form
    228,502.28/342,795.58 = 76,684.39/x
  3. Step 3: Cross multiply
    228,502.28x = 342,795.58 × 76,684.39
  4. Step 4: Simplify right side
    228,502.28x = 26,287,068,898.30
  5. Step 5: Solve for x
    x = 26,287,068,898.30/228,502.28
  6. Step 6: Final answer
    x = 115,040.73

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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.