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Finding the Fourth Proportional to 289,876.20, 434,468.70 and 121,396.20

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Solution

The fourth proportional to 289,876.20, 434,468.70 and 121,396.20 is: 181,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,876.20 : 434,468.70 = 121,396.20 : x
  2. Step 2: Convert to fraction form
    289,876.20/434,468.70 = 121,396.20/x
  3. Step 3: Cross multiply
    289,876.20x = 434,468.70 × 121,396.20
  4. Step 4: Simplify right side
    289,876.20x = 52,742,849,198.94
  5. Step 5: Solve for x
    x = 52,742,849,198.94/289,876.20
  6. Step 6: Final answer
    x = 181,949.57

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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.