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Finding the Fourth Proportional to 323,981.60, 485,972.40 and 205,737.80

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Solution

The fourth proportional to 323,981.60, 485,972.40 and 205,737.80 is: 308,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,981.60 : 485,972.40 = 205,737.80 : x
  2. Step 2: Convert to fraction form
    323,981.60/485,972.40 = 205,737.80/x
  3. Step 3: Cross multiply
    323,981.60x = 485,972.40 × 205,737.80
  4. Step 4: Simplify right side
    323,981.60x = 99,982,892,436.72
  5. Step 5: Solve for x
    x = 99,982,892,436.72/323,981.60
  6. Step 6: Final answer
    x = 308,606.70

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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.