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Finding the Fourth Proportional to 278,870.54, 384,840.30 and 158,034.84

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Solution

The fourth proportional to 278,870.54, 384,840.30 and 158,034.84 is: 218,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,870.54 : 384,840.30 = 158,034.84 : x
  2. Step 2: Convert to fraction form
    278,870.54/384,840.30 = 158,034.84/x
  3. Step 3: Cross multiply
    278,870.54x = 384,840.30 × 158,034.84
  4. Step 4: Simplify right side
    278,870.54x = 60,818,175,236.05
  5. Step 5: Solve for x
    x = 60,818,175,236.05/278,870.54
  6. Step 6: Final answer
    x = 218,087.49

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1.5x scale

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.