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Finding the Fourth Proportional to 647,731.56, 970,296.12 and 322,539.95

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Solution

The fourth proportional to 647,731.56, 970,296.12 and 322,539.95 is: 483,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,731.56 : 970,296.12 = 322,539.95 : x
  2. Step 2: Convert to fraction form
    647,731.56/970,296.12 = 322,539.95/x
  3. Step 3: Cross multiply
    647,731.56x = 970,296.12 × 322,539.95
  4. Step 4: Simplify right side
    647,731.56x = 312,959,257,178.51
  5. Step 5: Solve for x
    x = 312,959,257,178.51/647,731.56
  6. Step 6: Final answer
    x = 483,161.97

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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.