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Finding the Fourth Proportional to 493,772.64, 681,420.24 and 278,921.76

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Solution

The fourth proportional to 493,772.64, 681,420.24 and 278,921.76 is: 384,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,772.64 : 681,420.24 = 278,921.76 : x
  2. Step 2: Convert to fraction form
    493,772.64/681,420.24 = 278,921.76/x
  3. Step 3: Cross multiply
    493,772.64x = 681,420.24 × 278,921.76
  4. Step 4: Simplify right side
    493,772.64x = 190,062,932,640.42
  5. Step 5: Solve for x
    x = 190,062,932,640.42/493,772.64
  6. Step 6: Final answer
    x = 384,919.94

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1.5x scale

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.