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Finding the Fourth Proportional to 228,470.23, 342,728.30 and 78,690.79

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Solution

The fourth proportional to 228,470.23, 342,728.30 and 78,690.79 is: 118,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,470.23 : 342,728.30 = 78,690.79 : x
  2. Step 2: Convert to fraction form
    228,470.23/342,728.30 = 78,690.79/x
  3. Step 3: Cross multiply
    228,470.23x = 342,728.30 × 78,690.79
  4. Step 4: Simplify right side
    228,470.23x = 26,969,560,288.90
  5. Step 5: Solve for x
    x = 26,969,560,288.90/228,470.23
  6. Step 6: Final answer
    x = 118,044.09

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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.