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Finding the Fourth Proportional to 430,497, 645,849.18 and 135,009

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Solution

The fourth proportional to 430,497, 645,849.18 and 135,009 is: 202,546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,497 : 645,849.18 = 135,009 : x
  2. Step 2: Convert to fraction form
    430,497/645,849.18 = 135,009/x
  3. Step 3: Cross multiply
    430,497x = 645,849.18 × 135,009
  4. Step 4: Simplify right side
    430,497x = 87,195,451,942.62
  5. Step 5: Solve for x
    x = 87,195,451,942.62/430,497
  6. Step 6: Final answer
    x = 202,546.02

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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.