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Finding the Fourth Proportional to 323,407.20, 485,088.12 and 120,964.80

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Solution

The fourth proportional to 323,407.20, 485,088.12 and 120,964.80 is: 181,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,407.20 : 485,088.12 = 120,964.80 : x
  2. Step 2: Convert to fraction form
    323,407.20/485,088.12 = 120,964.80/x
  3. Step 3: Cross multiply
    323,407.20x = 485,088.12 × 120,964.80
  4. Step 4: Simplify right side
    323,407.20x = 58,678,587,418.18
  5. Step 5: Solve for x
    x = 58,678,587,418.18/323,407.20
  6. Step 6: Final answer
    x = 181,438.72

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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.