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Finding the Fourth Proportional to 278,622.87, 384,498.54 and 157,752.24

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Solution

The fourth proportional to 278,622.87, 384,498.54 and 157,752.24 is: 217,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,622.87 : 384,498.54 = 157,752.24 : x
  2. Step 2: Convert to fraction form
    278,622.87/384,498.54 = 157,752.24/x
  3. Step 3: Cross multiply
    278,622.87x = 384,498.54 × 157,752.24
  4. Step 4: Simplify right side
    278,622.87x = 60,655,505,961.73
  5. Step 5: Solve for x
    x = 60,655,505,961.73/278,622.87
  6. Step 6: Final answer
    x = 217,697.51

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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.