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Finding the Fourth Proportional to 320,379.46, 480,638.13 and 95,758.15

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Solution

The fourth proportional to 320,379.46, 480,638.13 and 95,758.15 is: 143,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,379.46 : 480,638.13 = 95,758.15 : x
  2. Step 2: Convert to fraction form
    320,379.46/480,638.13 = 95,758.15/x
  3. Step 3: Cross multiply
    320,379.46x = 480,638.13 × 95,758.15
  4. Step 4: Simplify right side
    320,379.46x = 46,025,018,148.26
  5. Step 5: Solve for x
    x = 46,025,018,148.26/320,379.46
  6. Step 6: Final answer
    x = 143,657.83

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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.