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Finding the Fourth Proportional to 342,114.40, 513,171.60 and 305,372.80

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Solution

The fourth proportional to 342,114.40, 513,171.60 and 305,372.80 is: 458,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,114.40 : 513,171.60 = 305,372.80 : x
  2. Step 2: Convert to fraction form
    342,114.40/513,171.60 = 305,372.80/x
  3. Step 3: Cross multiply
    342,114.40x = 513,171.60 × 305,372.80
  4. Step 4: Simplify right side
    342,114.40x = 156,708,648,372.48
  5. Step 5: Solve for x
    x = 156,708,648,372.48/342,114.40
  6. Step 6: Final answer
    x = 458,059.20

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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.