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Finding the Fourth Proportional to 321,165.70, 443,176.34 and 177,898.98

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Solution

The fourth proportional to 321,165.70, 443,176.34 and 177,898.98 is: 245,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,165.70 : 443,176.34 = 177,898.98 : x
  2. Step 2: Convert to fraction form
    321,165.70/443,176.34 = 177,898.98/x
  3. Step 3: Cross multiply
    321,165.70x = 443,176.34 × 177,898.98
  4. Step 4: Simplify right side
    321,165.70x = 78,840,618,846.13
  5. Step 5: Solve for x
    x = 78,840,618,846.13/321,165.70
  6. Step 6: Final answer
    x = 245,482.69

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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.