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Finding the Fourth Proportional to 342,011.57, 512,740.53 and 142,481.84

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Solution

The fourth proportional to 342,011.57, 512,740.53 and 142,481.84 is: 213,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,011.57 : 512,740.53 = 142,481.84 : x
  2. Step 2: Convert to fraction form
    342,011.57/512,740.53 = 142,481.84/x
  3. Step 3: Cross multiply
    342,011.57x = 512,740.53 × 142,481.84
  4. Step 4: Simplify right side
    342,011.57x = 73,056,211,593.27
  5. Step 5: Solve for x
    x = 73,056,211,593.27/342,011.57
  6. Step 6: Final answer
    x = 213,607.43

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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.