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Finding the Fourth Proportional to 273,323.70, 409,985.55 and 86,335.20

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Solution

The fourth proportional to 273,323.70, 409,985.55 and 86,335.20 is: 129,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,323.70 : 409,985.55 = 86,335.20 : x
  2. Step 2: Convert to fraction form
    273,323.70/409,985.55 = 86,335.20/x
  3. Step 3: Cross multiply
    273,323.70x = 409,985.55 × 86,335.20
  4. Step 4: Simplify right side
    273,323.70x = 35,396,184,456.36
  5. Step 5: Solve for x
    x = 35,396,184,456.36/273,323.70
  6. Step 6: Final answer
    x = 129,502.80

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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.