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Finding the Fourth Proportional to 493,978.10, 681,690.47 and 267,623.60

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Solution

The fourth proportional to 493,978.10, 681,690.47 and 267,623.60 is: 369,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,978.10 : 681,690.47 = 267,623.60 : x
  2. Step 2: Convert to fraction form
    493,978.10/681,690.47 = 267,623.60/x
  3. Step 3: Cross multiply
    493,978.10x = 681,690.47 × 267,623.60
  4. Step 4: Simplify right side
    493,978.10x = 182,436,452,920.52
  5. Step 5: Solve for x
    x = 182,436,452,920.52/493,978.10
  6. Step 6: Final answer
    x = 369,320.94

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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.