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Finding the Fourth Proportional to 342,408.20, 513,612.30 and 202,094.60

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Solution

The fourth proportional to 342,408.20, 513,612.30 and 202,094.60 is: 303,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,408.20 : 513,612.30 = 202,094.60 : x
  2. Step 2: Convert to fraction form
    342,408.20/513,612.30 = 202,094.60/x
  3. Step 3: Cross multiply
    342,408.20x = 513,612.30 × 202,094.60
  4. Step 4: Simplify right side
    342,408.20x = 103,798,272,323.58
  5. Step 5: Solve for x
    x = 103,798,272,323.58/342,408.20
  6. Step 6: Final answer
    x = 303,141.90

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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.