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Finding the Fourth Proportional to 349,478, 524,217.36 and 86,822

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Solution

The fourth proportional to 349,478, 524,217.36 and 86,822 is: 130,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,478 : 524,217.36 = 86,822 : x
  2. Step 2: Convert to fraction form
    349,478/524,217.36 = 86,822/x
  3. Step 3: Cross multiply
    349,478x = 524,217.36 × 86,822
  4. Step 4: Simplify right side
    349,478x = 45,513,599,629.92
  5. Step 5: Solve for x
    x = 45,513,599,629.92/349,478
  6. Step 6: Final answer
    x = 130,233.09

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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.