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Finding the Fourth Proportional to 512,779.80, 707,622.30 and 280,197.48

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Solution

The fourth proportional to 512,779.80, 707,622.30 and 280,197.48 is: 386,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,779.80 : 707,622.30 = 280,197.48 : x
  2. Step 2: Convert to fraction form
    512,779.80/707,622.30 = 280,197.48/x
  3. Step 3: Cross multiply
    512,779.80x = 707,622.30 × 280,197.48
  4. Step 4: Simplify right side
    512,779.80x = 198,273,985,251.80
  5. Step 5: Solve for x
    x = 198,273,985,251.80/512,779.80
  6. Step 6: Final answer
    x = 386,664.97

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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.