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Finding the Fourth Proportional to 384,079.50, 530,279.34 and 343,723.86

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Solution

The fourth proportional to 384,079.50, 530,279.34 and 343,723.86 is: 474,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,079.50 : 530,279.34 = 343,723.86 : x
  2. Step 2: Convert to fraction form
    384,079.50/530,279.34 = 343,723.86/x
  3. Step 3: Cross multiply
    384,079.50x = 530,279.34 × 343,723.86
  4. Step 4: Simplify right side
    384,079.50x = 182,269,661,623.05
  5. Step 5: Solve for x
    x = 182,269,661,623.05/384,079.50
  6. Step 6: Final answer
    x = 474,562.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.