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Finding the Fourth Proportional to 649,704.69, 974,648.58 and 200,462.10

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Solution

The fourth proportional to 649,704.69, 974,648.58 and 200,462.10 is: 300,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,704.69 : 974,648.58 = 200,462.10 : x
  2. Step 2: Convert to fraction form
    649,704.69/974,648.58 = 200,462.10/x
  3. Step 3: Cross multiply
    649,704.69x = 974,648.58 × 200,462.10
  4. Step 4: Simplify right side
    649,704.69x = 195,380,101,108.82
  5. Step 5: Solve for x
    x = 195,380,101,108.82/649,704.69
  6. Step 6: Final answer
    x = 300,721.40

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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.