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Finding the Fourth Proportional to 228,422.70, 342,342.45 and 109,838.70

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Solution

The fourth proportional to 228,422.70, 342,342.45 and 109,838.70 is: 164,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,422.70 : 342,342.45 = 109,838.70 : x
  2. Step 2: Convert to fraction form
    228,422.70/342,342.45 = 109,838.70/x
  3. Step 3: Cross multiply
    228,422.70x = 342,342.45 × 109,838.70
  4. Step 4: Simplify right side
    228,422.70x = 37,602,449,662.82
  5. Step 5: Solve for x
    x = 37,602,449,662.82/228,422.70
  6. Step 6: Final answer
    x = 164,617.83

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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.