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Finding the Fourth Proportional to 430,534.48, 645,451.79 and 150,248.56

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Solution

The fourth proportional to 430,534.48, 645,451.79 and 150,248.56 is: 225,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,534.48 : 645,451.79 = 150,248.56 : x
  2. Step 2: Convert to fraction form
    430,534.48/645,451.79 = 150,248.56/x
  3. Step 3: Cross multiply
    430,534.48x = 645,451.79 × 150,248.56
  4. Step 4: Simplify right side
    430,534.48x = 96,978,201,996.92
  5. Step 5: Solve for x
    x = 96,978,201,996.92/430,534.48
  6. Step 6: Final answer
    x = 225,250.72

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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.