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Finding the Fourth Proportional to 273,218.58, 409,842.45 and 86,215.50

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Solution

The fourth proportional to 273,218.58, 409,842.45 and 86,215.50 is: 129,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,218.58 : 409,842.45 = 86,215.50 : x
  2. Step 2: Convert to fraction form
    273,218.58/409,842.45 = 86,215.50/x
  3. Step 3: Cross multiply
    273,218.58x = 409,842.45 × 86,215.50
  4. Step 4: Simplify right side
    273,218.58x = 35,334,771,747.98
  5. Step 5: Solve for x
    x = 35,334,771,747.98/273,218.58
  6. Step 6: Final answer
    x = 129,327.85

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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.