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Finding the Fourth Proportional to 320,718.72, 480,706.32 and 120,911.16

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Solution

The fourth proportional to 320,718.72, 480,706.32 and 120,911.16 is: 181,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,718.72 : 480,706.32 = 120,911.16 : x
  2. Step 2: Convert to fraction form
    320,718.72/480,706.32 = 120,911.16/x
  3. Step 3: Cross multiply
    320,718.72x = 480,706.32 × 120,911.16
  4. Step 4: Simplify right side
    320,718.72x = 58,122,758,770.53
  5. Step 5: Solve for x
    x = 58,122,758,770.53/320,718.72
  6. Step 6: Final answer
    x = 181,226.59

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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.