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Finding the Fourth Proportional to 278,970.66, 384,981.72 and 151,645.92

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Solution

The fourth proportional to 278,970.66, 384,981.72 and 151,645.92 is: 209,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,970.66 : 384,981.72 = 151,645.92 : x
  2. Step 2: Convert to fraction form
    278,970.66/384,981.72 = 151,645.92/x
  3. Step 3: Cross multiply
    278,970.66x = 384,981.72 × 151,645.92
  4. Step 4: Simplify right side
    278,970.66x = 58,380,907,112.58
  5. Step 5: Solve for x
    x = 58,380,907,112.58/278,970.66
  6. Step 6: Final answer
    x = 209,272.57

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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.