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Finding the Fourth Proportional to 289,765.40, 434,864.10 and 149,451.80

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Solution

The fourth proportional to 289,765.40, 434,864.10 and 149,451.80 is: 224,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,765.40 : 434,864.10 = 149,451.80 : x
  2. Step 2: Convert to fraction form
    289,765.40/434,864.10 = 149,451.80/x
  3. Step 3: Cross multiply
    289,765.40x = 434,864.10 × 149,451.80
  4. Step 4: Simplify right side
    289,765.40x = 64,991,222,500.38
  5. Step 5: Solve for x
    x = 64,991,222,500.38/289,765.40
  6. Step 6: Final answer
    x = 224,289.11

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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.