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Finding the Fourth Proportional to 430,660.50, 645,996.51 and 135,172.50

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Solution

The fourth proportional to 430,660.50, 645,996.51 and 135,172.50 is: 202,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,660.50 : 645,996.51 = 135,172.50 : x
  2. Step 2: Convert to fraction form
    430,660.50/645,996.51 = 135,172.50/x
  3. Step 3: Cross multiply
    430,660.50x = 645,996.51 × 135,172.50
  4. Step 4: Simplify right side
    430,660.50x = 87,320,963,247.98
  5. Step 5: Solve for x
    x = 87,320,963,247.98/430,660.50
  6. Step 6: Final answer
    x = 202,760.56

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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.