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Finding the Fourth Proportional to 323,219.80, 485,607.30 and 289,005.40

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Solution

The fourth proportional to 323,219.80, 485,607.30 and 289,005.40 is: 434,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,219.80 : 485,607.30 = 289,005.40 : x
  2. Step 2: Convert to fraction form
    323,219.80/485,607.30 = 289,005.40/x
  3. Step 3: Cross multiply
    323,219.80x = 485,607.30 × 289,005.40
  4. Step 4: Simplify right side
    323,219.80x = 140,343,131,979.42
  5. Step 5: Solve for x
    x = 140,343,131,979.42/323,219.80
  6. Step 6: Final answer
    x = 434,203.39

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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.