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Finding the Fourth Proportional to 289,876.51, 434,809.62 and 119,061.23

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Solution

The fourth proportional to 289,876.51, 434,809.62 and 119,061.23 is: 178,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,876.51 : 434,809.62 = 119,061.23 : x
  2. Step 2: Convert to fraction form
    289,876.51/434,809.62 = 119,061.23/x
  3. Step 3: Cross multiply
    289,876.51x = 434,809.62 × 119,061.23
  4. Step 4: Simplify right side
    289,876.51x = 51,768,965,998.98
  5. Step 5: Solve for x
    x = 51,768,965,998.98/289,876.51
  6. Step 6: Final answer
    x = 178,589.73

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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.