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Finding the Fourth Proportional to 289,930.91, 434,926.11 and 100,391

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Solution

The fourth proportional to 289,930.91, 434,926.11 and 100,391 is: 150,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,930.91 : 434,926.11 = 100,391 : x
  2. Step 2: Convert to fraction form
    289,930.91/434,926.11 = 100,391/x
  3. Step 3: Cross multiply
    289,930.91x = 434,926.11 × 100,391
  4. Step 4: Simplify right side
    289,930.91x = 43,662,667,109.01
  5. Step 5: Solve for x
    x = 43,662,667,109.01/289,930.91
  6. Step 6: Final answer
    x = 150,596.80

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1.5x scale

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.