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Finding the Fourth Proportional to 342,447.48, 513,758.85 and 200,412.36

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Solution

The fourth proportional to 342,447.48, 513,758.85 and 200,412.36 is: 300,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,447.48 : 513,758.85 = 200,412.36 : x
  2. Step 2: Convert to fraction form
    342,447.48/513,758.85 = 200,412.36/x
  3. Step 3: Cross multiply
    342,447.48x = 513,758.85 × 200,412.36
  4. Step 4: Simplify right side
    342,447.48x = 102,963,623,599.39
  5. Step 5: Solve for x
    x = 102,963,623,599.39/342,447.48
  6. Step 6: Final answer
    x = 300,669.82

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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.