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Finding the Fourth Proportional to 278,991.90, 418,541.71 and 119,065.50

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Solution

The fourth proportional to 278,991.90, 418,541.71 and 119,065.50 is: 178,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,991.90 : 418,541.71 = 119,065.50 : x
  2. Step 2: Convert to fraction form
    278,991.90/418,541.71 = 119,065.50/x
  3. Step 3: Cross multiply
    278,991.90x = 418,541.71 × 119,065.50
  4. Step 4: Simplify right side
    278,991.90x = 49,833,875,879.30
  5. Step 5: Solve for x
    x = 49,833,875,879.30/278,991.90
  6. Step 6: Final answer
    x = 178,621.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.