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Finding the Fourth Proportional to 309,969.08, 463,891.92 and 215,306

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Solution

The fourth proportional to 309,969.08, 463,891.92 and 215,306 is: 322,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,969.08 : 463,891.92 = 215,306 : x
  2. Step 2: Convert to fraction form
    309,969.08/463,891.92 = 215,306/x
  3. Step 3: Cross multiply
    309,969.08x = 463,891.92 × 215,306
  4. Step 4: Simplify right side
    309,969.08x = 99,878,713,727.52
  5. Step 5: Solve for x
    x = 99,878,713,727.52/309,969.08
  6. Step 6: Final answer
    x = 322,221.54

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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.