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Finding the Fourth Proportional to 378,341.32, 567,511.98 and 129,025.48

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Solution

The fourth proportional to 378,341.32, 567,511.98 and 129,025.48 is: 193,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,341.32 : 567,511.98 = 129,025.48 : x
  2. Step 2: Convert to fraction form
    378,341.32/567,511.98 = 129,025.48/x
  3. Step 3: Cross multiply
    378,341.32x = 567,511.98 × 129,025.48
  4. Step 4: Simplify right side
    378,341.32x = 73,223,505,625.25
  5. Step 5: Solve for x
    x = 73,223,505,625.25/378,341.32
  6. Step 6: Final answer
    x = 193,538.22

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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.