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Finding the Fourth Proportional to 392,019.94, 541,031.16 and 219,966.22

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Solution

The fourth proportional to 392,019.94, 541,031.16 and 219,966.22 is: 303,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,019.94 : 541,031.16 = 219,966.22 : x
  2. Step 2: Convert to fraction form
    392,019.94/541,031.16 = 219,966.22/x
  3. Step 3: Cross multiply
    392,019.94x = 541,031.16 × 219,966.22
  4. Step 4: Simplify right side
    392,019.94x = 119,008,579,167.42
  5. Step 5: Solve for x
    x = 119,008,579,167.42/392,019.94
  6. Step 6: Final answer
    x = 303,577.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.