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Finding the Fourth Proportional to 343,446.35, 515,278.17 and 154,069.16

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Solution

The fourth proportional to 343,446.35, 515,278.17 and 154,069.16 is: 231,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,446.35 : 515,278.17 = 154,069.16 : x
  2. Step 2: Convert to fraction form
    343,446.35/515,278.17 = 154,069.16/x
  3. Step 3: Cross multiply
    343,446.35x = 515,278.17 × 154,069.16
  4. Step 4: Simplify right side
    343,446.35x = 79,388,476,106.43
  5. Step 5: Solve for x
    x = 79,388,476,106.43/343,446.35
  6. Step 6: Final answer
    x = 231,152.48

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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.