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Finding the Fourth Proportional to 523,874.53, 722,820.72 and 305,959.62

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Solution

The fourth proportional to 523,874.53, 722,820.72 and 305,959.62 is: 422,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,874.53 : 722,820.72 = 305,959.62 : x
  2. Step 2: Convert to fraction form
    523,874.53/722,820.72 = 305,959.62/x
  3. Step 3: Cross multiply
    523,874.53x = 722,820.72 × 305,959.62
  4. Step 4: Simplify right side
    523,874.53x = 221,153,949,205.22
  5. Step 5: Solve for x
    x = 221,153,949,205.22/523,874.53
  6. Step 6: Final answer
    x = 422,150.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.