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Finding the Fourth Proportional to 228,470.48, 342,728.70 and 78,691.04

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Solution

The fourth proportional to 228,470.48, 342,728.70 and 78,691.04 is: 118,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,470.48 : 342,728.70 = 78,691.04 : x
  2. Step 2: Convert to fraction form
    228,470.48/342,728.70 = 78,691.04/x
  3. Step 3: Cross multiply
    228,470.48x = 342,728.70 × 78,691.04
  4. Step 4: Simplify right side
    228,470.48x = 26,969,677,840.85
  5. Step 5: Solve for x
    x = 26,969,677,840.85/228,470.48
  6. Step 6: Final answer
    x = 118,044.47

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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.