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Finding the Fourth Proportional to 578,234.70, 866,853.09 and 278,302.64

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Solution

The fourth proportional to 578,234.70, 866,853.09 and 278,302.64 is: 417,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,234.70 : 866,853.09 = 278,302.64 : x
  2. Step 2: Convert to fraction form
    578,234.70/866,853.09 = 278,302.64/x
  3. Step 3: Cross multiply
    578,234.70x = 866,853.09 × 278,302.64
  4. Step 4: Simplify right side
    578,234.70x = 241,247,499,104.89
  5. Step 5: Solve for x
    x = 241,247,499,104.89/578,234.70
  6. Step 6: Final answer
    x = 417,213.80

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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.