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Finding the Fourth Proportional to 260,155.62, 390,227.32 and 119,914.24

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Solution

The fourth proportional to 260,155.62, 390,227.32 and 119,914.24 is: 179,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,155.62 : 390,227.32 = 119,914.24 : x
  2. Step 2: Convert to fraction form
    260,155.62/390,227.32 = 119,914.24/x
  3. Step 3: Cross multiply
    260,155.62x = 390,227.32 × 119,914.24
  4. Step 4: Simplify right side
    260,155.62x = 46,793,812,505.04
  5. Step 5: Solve for x
    x = 46,793,812,505.04/260,155.62
  6. Step 6: Final answer
    x = 179,868.54

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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.