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Finding the Fourth Proportional to 274,503.88, 378,815.22 and 153,645.14

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Solution

The fourth proportional to 274,503.88, 378,815.22 and 153,645.14 is: 212,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,503.88 : 378,815.22 = 153,645.14 : x
  2. Step 2: Convert to fraction form
    274,503.88/378,815.22 = 153,645.14/x
  3. Step 3: Cross multiply
    274,503.88x = 378,815.22 × 153,645.14
  4. Step 4: Simplify right side
    274,503.88x = 58,203,117,511.03
  5. Step 5: Solve for x
    x = 58,203,117,511.03/274,503.88
  6. Step 6: Final answer
    x = 212,030.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.