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Finding the Fourth Proportional to 349,922, 524,960.76 and 128,306

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Solution

The fourth proportional to 349,922, 524,960.76 and 128,306 is: 192,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,922 : 524,960.76 = 128,306 : x
  2. Step 2: Convert to fraction form
    349,922/524,960.76 = 128,306/x
  3. Step 3: Cross multiply
    349,922x = 524,960.76 × 128,306
  4. Step 4: Simplify right side
    349,922x = 67,355,615,272.56
  5. Step 5: Solve for x
    x = 67,355,615,272.56/349,922
  6. Step 6: Final answer
    x = 192,487.51

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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.