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Finding the Fourth Proportional to 228,316.78, 342,390.03 and 78,514.66

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Solution

The fourth proportional to 228,316.78, 342,390.03 and 78,514.66 is: 117,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,316.78 : 342,390.03 = 78,514.66 : x
  2. Step 2: Convert to fraction form
    228,316.78/342,390.03 = 78,514.66/x
  3. Step 3: Cross multiply
    228,316.78x = 342,390.03 × 78,514.66
  4. Step 4: Simplify right side
    228,316.78x = 26,882,636,792.84
  5. Step 5: Solve for x
    x = 26,882,636,792.84/228,316.78
  6. Step 6: Final answer
    x = 117,742.71

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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.