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Finding the Fourth Proportional to 647,612.69, 971,634.15 and 287,733.47

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Solution

The fourth proportional to 647,612.69, 971,634.15 and 287,733.47 is: 431,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,612.69 : 971,634.15 = 287,733.47 : x
  2. Step 2: Convert to fraction form
    647,612.69/971,634.15 = 287,733.47/x
  3. Step 3: Cross multiply
    647,612.69x = 971,634.15 × 287,733.47
  4. Step 4: Simplify right side
    647,612.69x = 279,571,660,691.83
  5. Step 5: Solve for x
    x = 279,571,660,691.83/647,612.69
  6. Step 6: Final answer
    x = 431,695.78

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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.