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Finding the Fourth Proportional to 647,728.12, 970,290.99 and 322,536.52

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Solution

The fourth proportional to 647,728.12, 970,290.99 and 322,536.52 is: 483,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,728.12 : 970,290.99 = 322,536.52 : x
  2. Step 2: Convert to fraction form
    647,728.12/970,290.99 = 322,536.52/x
  3. Step 3: Cross multiply
    647,728.12x = 970,290.99 × 322,536.52
  4. Step 4: Simplify right side
    647,728.12x = 312,954,280,514.82
  5. Step 5: Solve for x
    x = 312,954,280,514.82/647,728.12
  6. Step 6: Final answer
    x = 483,156.85

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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.