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Finding the Fourth Proportional to 289,416.20, 434,124.30 and 200,769.80

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Solution

The fourth proportional to 289,416.20, 434,124.30 and 200,769.80 is: 301,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,416.20 : 434,124.30 = 200,769.80 : x
  2. Step 2: Convert to fraction form
    289,416.20/434,124.30 = 200,769.80/x
  3. Step 3: Cross multiply
    289,416.20x = 434,124.30 × 200,769.80
  4. Step 4: Simplify right side
    289,416.20x = 87,159,048,886.14
  5. Step 5: Solve for x
    x = 87,159,048,886.14/289,416.20
  6. Step 6: Final answer
    x = 301,154.70

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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.