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Finding the Fourth Proportional to 320,516.64, 480,886.47 and 120,894.30

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Solution

The fourth proportional to 320,516.64, 480,886.47 and 120,894.30 is: 181,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,516.64 : 480,886.47 = 120,894.30 : x
  2. Step 2: Convert to fraction form
    320,516.64/480,886.47 = 120,894.30/x
  3. Step 3: Cross multiply
    320,516.64x = 480,886.47 × 120,894.30
  4. Step 4: Simplify right side
    320,516.64x = 58,136,433,170.12
  5. Step 5: Solve for x
    x = 58,136,433,170.12/320,516.64
  6. Step 6: Final answer
    x = 181,383.51

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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.