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Finding the Fourth Proportional to 308,778.22, 463,102.39 and 87,110.38

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Solution

The fourth proportional to 308,778.22, 463,102.39 and 87,110.38 is: 130,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,778.22 : 463,102.39 = 87,110.38 : x
  2. Step 2: Convert to fraction form
    308,778.22/463,102.39 = 87,110.38/x
  3. Step 3: Cross multiply
    308,778.22x = 463,102.39 × 87,110.38
  4. Step 4: Simplify right side
    308,778.22x = 40,341,022,420.74
  5. Step 5: Solve for x
    x = 40,341,022,420.74/308,778.22
  6. Step 6: Final answer
    x = 130,647.24

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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.