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Finding the Fourth Proportional to 722,375, 996,875 and 416,449.92

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Solution

The fourth proportional to 722,375, 996,875 and 416,449.92 is: 574,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,375 : 996,875 = 416,449.92 : x
  2. Step 2: Convert to fraction form
    722,375/996,875 = 416,449.92/x
  3. Step 3: Cross multiply
    722,375x = 996,875 × 416,449.92
  4. Step 4: Simplify right side
    722,375x = 415,148,514,000
  5. Step 5: Solve for x
    x = 415,148,514,000/722,375
  6. Step 6: Final answer
    x = 574,699.45

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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.