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Finding the Fourth Proportional to 278,767.76, 417,634.32 and 188,767.04

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Solution

The fourth proportional to 278,767.76, 417,634.32 and 188,767.04 is: 282,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,767.76 : 417,634.32 = 188,767.04 : x
  2. Step 2: Convert to fraction form
    278,767.76/417,634.32 = 188,767.04/x
  3. Step 3: Cross multiply
    278,767.76x = 417,634.32 × 188,767.04
  4. Step 4: Simplify right side
    278,767.76x = 78,835,594,388.81
  5. Step 5: Solve for x
    x = 78,835,594,388.81/278,767.76
  6. Step 6: Final answer
    x = 282,800.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.