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Finding the Fourth Proportional to 289,950.75, 434,482.14 and 121,379.22

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Solution

The fourth proportional to 289,950.75, 434,482.14 and 121,379.22 is: 181,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,950.75 : 434,482.14 = 121,379.22 : x
  2. Step 2: Convert to fraction form
    289,950.75/434,482.14 = 121,379.22/x
  3. Step 3: Cross multiply
    289,950.75x = 434,482.14 × 121,379.22
  4. Step 4: Simplify right side
    289,950.75x = 52,737,103,712.30
  5. Step 5: Solve for x
    x = 52,737,103,712.30/289,950.75
  6. Step 6: Final answer
    x = 181,882.97

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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.