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Finding the Fourth Proportional to 523,439, 722,345.86 and 284,975

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Solution

The fourth proportional to 523,439, 722,345.86 and 284,975 is: 393,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,439 : 722,345.86 = 284,975 : x
  2. Step 2: Convert to fraction form
    523,439/722,345.86 = 284,975/x
  3. Step 3: Cross multiply
    523,439x = 722,345.86 × 284,975
  4. Step 4: Simplify right side
    523,439x = 205,850,511,453.50
  5. Step 5: Solve for x
    x = 205,850,511,453.50/523,439
  6. Step 6: Final answer
    x = 393,265.52

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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.