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Finding the Fourth Proportional to 472,234.20, 708,524.10 and 191,779.80

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Solution

The fourth proportional to 472,234.20, 708,524.10 and 191,779.80 is: 287,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,234.20 : 708,524.10 = 191,779.80 : x
  2. Step 2: Convert to fraction form
    472,234.20/708,524.10 = 191,779.80/x
  3. Step 3: Cross multiply
    472,234.20x = 708,524.10 × 191,779.80
  4. Step 4: Simplify right side
    472,234.20x = 135,880,610,193.18
  5. Step 5: Solve for x
    x = 135,880,610,193.18/472,234.20
  6. Step 6: Final answer
    x = 287,739.88

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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.