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Finding the Fourth Proportional to 274,809.63, 412,215.38 and 97,321.82

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Solution

The fourth proportional to 274,809.63, 412,215.38 and 97,321.82 is: 145,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,809.63 : 412,215.38 = 97,321.82 : x
  2. Step 2: Convert to fraction form
    274,809.63/412,215.38 = 97,321.82/x
  3. Step 3: Cross multiply
    274,809.63x = 412,215.38 × 97,321.82
  4. Step 4: Simplify right side
    274,809.63x = 40,117,548,465.91
  5. Step 5: Solve for x
    x = 40,117,548,465.91/274,809.63
  6. Step 6: Final answer
    x = 145,983.05

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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.