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Finding the Fourth Proportional to 278,314.49, 384,078.66 and 150,990.08

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Solution

The fourth proportional to 278,314.49, 384,078.66 and 150,990.08 is: 208,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,314.49 : 384,078.66 = 150,990.08 : x
  2. Step 2: Convert to fraction form
    278,314.49/384,078.66 = 150,990.08/x
  3. Step 3: Cross multiply
    278,314.49x = 384,078.66 × 150,990.08
  4. Step 4: Simplify right side
    278,314.49x = 57,992,065,679.30
  5. Step 5: Solve for x
    x = 57,992,065,679.30/278,314.49
  6. Step 6: Final answer
    x = 208,368.84

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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.