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Finding the Fourth Proportional to 647,728.93, 970,292.19 and 322,537.32

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Solution

The fourth proportional to 647,728.93, 970,292.19 and 322,537.32 is: 483,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,728.93 : 970,292.19 = 322,537.32 : x
  2. Step 2: Convert to fraction form
    647,728.93/970,292.19 = 322,537.32/x
  3. Step 3: Cross multiply
    647,728.93x = 970,292.19 × 322,537.32
  4. Step 4: Simplify right side
    647,728.93x = 312,955,442,579.53
  5. Step 5: Solve for x
    x = 312,955,442,579.53/647,728.93
  6. Step 6: Final answer
    x = 483,158.05

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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.