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Finding the Fourth Proportional to 386,468.80, 579,415.20 and 199,614.40

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Solution

The fourth proportional to 386,468.80, 579,415.20 and 199,614.40 is: 299,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,468.80 : 579,415.20 = 199,614.40 : x
  2. Step 2: Convert to fraction form
    386,468.80/579,415.20 = 199,614.40/x
  3. Step 3: Cross multiply
    386,468.80x = 579,415.20 × 199,614.40
  4. Step 4: Simplify right side
    386,468.80x = 115,659,617,498.88
  5. Step 5: Solve for x
    x = 115,659,617,498.88/386,468.80
  6. Step 6: Final answer
    x = 299,272.85

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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.