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Finding the Fourth Proportional to 289,374.72, 434,166.45 and 154,296.69

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Solution

The fourth proportional to 289,374.72, 434,166.45 and 154,296.69 is: 231,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,374.72 : 434,166.45 = 154,296.69 : x
  2. Step 2: Convert to fraction form
    289,374.72/434,166.45 = 154,296.69/x
  3. Step 3: Cross multiply
    289,374.72x = 434,166.45 × 154,296.69
  4. Step 4: Simplify right side
    289,374.72x = 66,990,446,144.05
  5. Step 5: Solve for x
    x = 66,990,446,144.05/289,374.72
  6. Step 6: Final answer
    x = 231,500.69

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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.