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Finding the Fourth Proportional to 285,491.61, 427,333.46 and 200,859.57

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Solution

The fourth proportional to 285,491.61, 427,333.46 and 200,859.57 is: 300,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,491.61 : 427,333.46 = 200,859.57 : x
  2. Step 2: Convert to fraction form
    285,491.61/427,333.46 = 200,859.57/x
  3. Step 3: Cross multiply
    285,491.61x = 427,333.46 × 200,859.57
  4. Step 4: Simplify right side
    285,491.61x = 85,834,014,017.91
  5. Step 5: Solve for x
    x = 85,834,014,017.91/285,491.61
  6. Step 6: Final answer
    x = 300,653.37

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1.5x scale

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.