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Finding the Fourth Proportional to 323,622.72, 485,433.65 and 86,965.40

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Solution

The fourth proportional to 323,622.72, 485,433.65 and 86,965.40 is: 130,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,622.72 : 485,433.65 = 86,965.40 : x
  2. Step 2: Convert to fraction form
    323,622.72/485,433.65 = 86,965.40/x
  3. Step 3: Cross multiply
    323,622.72x = 485,433.65 × 86,965.40
  4. Step 4: Simplify right side
    323,622.72x = 42,215,929,335.96
  5. Step 5: Solve for x
    x = 42,215,929,335.96/323,622.72
  6. Step 6: Final answer
    x = 130,447.98

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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.