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Finding the Fourth Proportional to 647,612.62, 971,634.08 and 287,733.47

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Solution

The fourth proportional to 647,612.62, 971,634.08 and 287,733.47 is: 431,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,612.62 : 971,634.08 = 287,733.47 : x
  2. Step 2: Convert to fraction form
    647,612.62/971,634.08 = 287,733.47/x
  3. Step 3: Cross multiply
    647,612.62x = 971,634.08 × 287,733.47
  4. Step 4: Simplify right side
    647,612.62x = 279,571,641,269.82
  5. Step 5: Solve for x
    x = 279,571,641,269.82/647,612.62
  6. Step 6: Final answer
    x = 431,695.79

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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.