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Finding the Fourth Proportional to 312,269, 430,989.60 and 178,133

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Solution

The fourth proportional to 312,269, 430,989.60 and 178,133 is: 245,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,269 : 430,989.60 = 178,133 : x
  2. Step 2: Convert to fraction form
    312,269/430,989.60 = 178,133/x
  3. Step 3: Cross multiply
    312,269x = 430,989.60 × 178,133
  4. Step 4: Simplify right side
    312,269x = 76,773,470,416.80
  5. Step 5: Solve for x
    x = 76,773,470,416.80/312,269
  6. Step 6: Final answer
    x = 245,856.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.