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Finding the Fourth Proportional to 228,276.39, 342,461.28 and 78,497.22

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Solution

The fourth proportional to 228,276.39, 342,461.28 and 78,497.22 is: 117,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,276.39 : 342,461.28 = 78,497.22 : x
  2. Step 2: Convert to fraction form
    228,276.39/342,461.28 = 78,497.22/x
  3. Step 3: Cross multiply
    228,276.39x = 342,461.28 × 78,497.22
  4. Step 4: Simplify right side
    228,276.39x = 26,882,256,529.09
  5. Step 5: Solve for x
    x = 26,882,256,529.09/228,276.39
  6. Step 6: Final answer
    x = 117,761.88

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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.