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Finding the Fourth Proportional to 647,618.70, 971,643.15 and 287,739.48

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Solution

The fourth proportional to 647,618.70, 971,643.15 and 287,739.48 is: 431,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,618.70 : 971,643.15 = 287,739.48 : x
  2. Step 2: Convert to fraction form
    647,618.70/971,643.15 = 287,739.48/x
  3. Step 3: Cross multiply
    647,618.70x = 971,643.15 × 287,739.48
  4. Step 4: Simplify right side
    647,618.70x = 279,580,094,726.56
  5. Step 5: Solve for x
    x = 279,580,094,726.56/647,618.70
  6. Step 6: Final answer
    x = 431,704.79

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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.