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Finding the Fourth Proportional to 343,897.56, 516,385.62 and 291,279.24

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Solution

The fourth proportional to 343,897.56, 516,385.62 and 291,279.24 is: 437,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,897.56 : 516,385.62 = 291,279.24 : x
  2. Step 2: Convert to fraction form
    343,897.56/516,385.62 = 291,279.24/x
  3. Step 3: Cross multiply
    343,897.56x = 516,385.62 × 291,279.24
  4. Step 4: Simplify right side
    343,897.56x = 150,412,410,940.53
  5. Step 5: Solve for x
    x = 150,412,410,940.53/343,897.56
  6. Step 6: Final answer
    x = 437,375.63

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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.