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Finding the Fourth Proportional to 342,451.48, 513,764.85 and 200,416.36

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Solution

The fourth proportional to 342,451.48, 513,764.85 and 200,416.36 is: 300,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,451.48 : 513,764.85 = 200,416.36 : x
  2. Step 2: Convert to fraction form
    342,451.48/513,764.85 = 200,416.36/x
  3. Step 3: Cross multiply
    342,451.48x = 513,764.85 × 200,416.36
  4. Step 4: Simplify right side
    342,451.48x = 102,966,881,132.95
  5. Step 5: Solve for x
    x = 102,966,881,132.95/342,451.48
  6. Step 6: Final answer
    x = 300,675.82

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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.