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Finding the Fourth Proportional to 378,517.13, 567,495.43 and 228,722.34

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Solution

The fourth proportional to 378,517.13, 567,495.43 and 228,722.34 is: 342,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,517.13 : 567,495.43 = 228,722.34 : x
  2. Step 2: Convert to fraction form
    378,517.13/567,495.43 = 228,722.34/x
  3. Step 3: Cross multiply
    378,517.13x = 567,495.43 × 228,722.34
  4. Step 4: Simplify right side
    378,517.13x = 129,798,882,117.10
  5. Step 5: Solve for x
    x = 129,798,882,117.10/378,517.13
  6. Step 6: Final answer
    x = 342,914.16

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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.