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Finding the Fourth Proportional to 342,421.97, 513,720.56 and 200,386.85

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Solution

The fourth proportional to 342,421.97, 513,720.56 and 200,386.85 is: 300,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,421.97 : 513,720.56 = 200,386.85 : x
  2. Step 2: Convert to fraction form
    342,421.97/513,720.56 = 200,386.85/x
  3. Step 3: Cross multiply
    342,421.97x = 513,720.56 × 200,386.85
  4. Step 4: Simplify right side
    342,421.97x = 102,942,842,731.00
  5. Step 5: Solve for x
    x = 102,942,842,731.00/342,421.97
  6. Step 6: Final answer
    x = 300,631.54

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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.