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Finding the Fourth Proportional to 278,894.86, 384,860.14 and 158,037.59

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Solution

The fourth proportional to 278,894.86, 384,860.14 and 158,037.59 is: 218,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,894.86 : 384,860.14 = 158,037.59 : x
  2. Step 2: Convert to fraction form
    278,894.86/384,860.14 = 158,037.59/x
  3. Step 3: Cross multiply
    278,894.86x = 384,860.14 × 158,037.59
  4. Step 4: Simplify right side
    278,894.86x = 60,822,369,012.66
  5. Step 5: Solve for x
    x = 60,822,369,012.66/278,894.86
  6. Step 6: Final answer
    x = 218,083.51

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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.