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Finding the Fourth Proportional to 342,765.60, 513,111.60 and 305,440.80

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Solution

The fourth proportional to 342,765.60, 513,111.60 and 305,440.80 is: 457,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,765.60 : 513,111.60 = 305,440.80 : x
  2. Step 2: Convert to fraction form
    342,765.60/513,111.60 = 305,440.80/x
  3. Step 3: Cross multiply
    342,765.60x = 513,111.60 × 305,440.80
  4. Step 4: Simplify right side
    342,765.60x = 156,725,217,593.28
  5. Step 5: Solve for x
    x = 156,725,217,593.28/342,765.60
  6. Step 6: Final answer
    x = 457,237.30

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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.