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Finding the Fourth Proportional to 363,284.88, 545,000.22 and 126,564

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Solution

The fourth proportional to 363,284.88, 545,000.22 and 126,564 is: 189,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,284.88 : 545,000.22 = 126,564 : x
  2. Step 2: Convert to fraction form
    363,284.88/545,000.22 = 126,564/x
  3. Step 3: Cross multiply
    363,284.88x = 545,000.22 × 126,564
  4. Step 4: Simplify right side
    363,284.88x = 68,977,407,844.08
  5. Step 5: Solve for x
    x = 68,977,407,844.08/363,284.88
  6. Step 6: Final answer
    x = 189,871.40

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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.