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Finding the Fourth Proportional to 320,574.72, 480,684.34 and 131,167.96

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Solution

The fourth proportional to 320,574.72, 480,684.34 and 131,167.96 is: 196,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,574.72 : 480,684.34 = 131,167.96 : x
  2. Step 2: Convert to fraction form
    320,574.72/480,684.34 = 131,167.96/x
  3. Step 3: Cross multiply
    320,574.72x = 480,684.34 × 131,167.96
  4. Step 4: Simplify right side
    320,574.72x = 63,050,384,281.75
  5. Step 5: Solve for x
    x = 63,050,384,281.75/320,574.72
  6. Step 6: Final answer
    x = 196,679.22

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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.