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Finding the Fourth Proportional to 278,398.92, 384,190.50 and 151,074.51

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Solution

The fourth proportional to 278,398.92, 384,190.50 and 151,074.51 is: 208,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,398.92 : 384,190.50 = 151,074.51 : x
  2. Step 2: Convert to fraction form
    278,398.92/384,190.50 = 151,074.51/x
  3. Step 3: Cross multiply
    278,398.92x = 384,190.50 × 151,074.51
  4. Step 4: Simplify right side
    278,398.92x = 58,041,392,100.68
  5. Step 5: Solve for x
    x = 58,041,392,100.68/278,398.92
  6. Step 6: Final answer
    x = 208,482.82

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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.