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Finding the Fourth Proportional to 458,944.20, 688,149 and 178,133.40

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Solution

The fourth proportional to 458,944.20, 688,149 and 178,133.40 is: 267,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,944.20 : 688,149 = 178,133.40 : x
  2. Step 2: Convert to fraction form
    458,944.20/688,149 = 178,133.40/x
  3. Step 3: Cross multiply
    458,944.20x = 688,149 × 178,133.40
  4. Step 4: Simplify right side
    458,944.20x = 122,582,321,076.60
  5. Step 5: Solve for x
    x = 122,582,321,076.60/458,944.20
  6. Step 6: Final answer
    x = 267,096.35

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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.