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Finding the Fourth Proportional to 430,696, 646,049.47 and 150,213.25

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Solution

The fourth proportional to 430,696, 646,049.47 and 150,213.25 is: 225,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,696 : 646,049.47 = 150,213.25 : x
  2. Step 2: Convert to fraction form
    430,696/646,049.47 = 150,213.25/x
  3. Step 3: Cross multiply
    430,696x = 646,049.47 × 150,213.25
  4. Step 4: Simplify right side
    430,696x = 97,045,190,549.48
  5. Step 5: Solve for x
    x = 97,045,190,549.48/430,696
  6. Step 6: Final answer
    x = 225,321.78

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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.