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Finding the Fourth Proportional to 430,678.70, 645,542.30 and 177,819.78

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Solution

The fourth proportional to 430,678.70, 645,542.30 and 177,819.78 is: 266,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,678.70 : 645,542.30 = 177,819.78 : x
  2. Step 2: Convert to fraction form
    430,678.70/645,542.30 = 177,819.78/x
  3. Step 3: Cross multiply
    430,678.70x = 645,542.30 × 177,819.78
  4. Step 4: Simplify right side
    430,678.70x = 114,790,189,766.69
  5. Step 5: Solve for x
    x = 114,790,189,766.69/430,678.70
  6. Step 6: Final answer
    x = 266,533.24

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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.