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Finding the Fourth Proportional to 323,683.40, 485,670.90 and 155,138.60

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Solution

The fourth proportional to 323,683.40, 485,670.90 and 155,138.60 is: 232,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,683.40 : 485,670.90 = 155,138.60 : x
  2. Step 2: Convert to fraction form
    323,683.40/485,670.90 = 155,138.60/x
  3. Step 3: Cross multiply
    323,683.40x = 485,670.90 × 155,138.60
  4. Step 4: Simplify right side
    323,683.40x = 75,346,303,486.74
  5. Step 5: Solve for x
    x = 75,346,303,486.74/323,683.40
  6. Step 6: Final answer
    x = 232,777.78

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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.