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Finding the Fourth Proportional to 230,463, 345,381.03 and 135,736.74

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Solution

The fourth proportional to 230,463, 345,381.03 and 135,736.74 is: 203,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,463 : 345,381.03 = 135,736.74 : x
  2. Step 2: Convert to fraction form
    230,463/345,381.03 = 135,736.74/x
  3. Step 3: Cross multiply
    230,463x = 345,381.03 × 135,736.74
  4. Step 4: Simplify right side
    230,463x = 46,880,895,070.04
  5. Step 5: Solve for x
    x = 46,880,895,070.04/230,463
  6. Step 6: Final answer
    x = 203,420.48

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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.