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Finding the Fourth Proportional to 349,540, 524,311.92 and 86,884

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Solution

The fourth proportional to 349,540, 524,311.92 and 86,884 is: 130,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,540 : 524,311.92 = 86,884 : x
  2. Step 2: Convert to fraction form
    349,540/524,311.92 = 86,884/x
  3. Step 3: Cross multiply
    349,540x = 524,311.92 × 86,884
  4. Step 4: Simplify right side
    349,540x = 45,554,316,857.28
  5. Step 5: Solve for x
    x = 45,554,316,857.28/349,540
  6. Step 6: Final answer
    x = 130,326.48

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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.