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Finding the Fourth Proportional to 278,365.77, 417,758.58 and 203,678.61

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Solution

The fourth proportional to 278,365.77, 417,758.58 and 203,678.61 is: 305,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,365.77 : 417,758.58 = 203,678.61 : x
  2. Step 2: Convert to fraction form
    278,365.77/417,758.58 = 203,678.61/x
  3. Step 3: Cross multiply
    278,365.77x = 417,758.58 × 203,678.61
  4. Step 4: Simplify right side
    278,365.77x = 85,088,486,126.18
  5. Step 5: Solve for x
    x = 85,088,486,126.18/278,365.77
  6. Step 6: Final answer
    x = 305,671.51

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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.