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Finding the Fourth Proportional to 273,216.08, 409,838.70 and 86,213

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Solution

The fourth proportional to 273,216.08, 409,838.70 and 86,213 is: 129,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,216.08 : 409,838.70 = 86,213 : x
  2. Step 2: Convert to fraction form
    273,216.08/409,838.70 = 86,213/x
  3. Step 3: Cross multiply
    273,216.08x = 409,838.70 × 86,213
  4. Step 4: Simplify right side
    273,216.08x = 35,333,423,843.10
  5. Step 5: Solve for x
    x = 35,333,423,843.10/273,216.08
  6. Step 6: Final answer
    x = 129,324.10

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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.