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Finding the Fourth Proportional to 547,290.23, 820,963.02 and 210,212.71

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Solution

The fourth proportional to 547,290.23, 820,963.02 and 210,212.71 is: 315,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,290.23 : 820,963.02 = 210,212.71 : x
  2. Step 2: Convert to fraction form
    547,290.23/820,963.02 = 210,212.71/x
  3. Step 3: Cross multiply
    547,290.23x = 820,963.02 × 210,212.71
  4. Step 4: Simplify right side
    547,290.23x = 172,576,861,243.98
  5. Step 5: Solve for x
    x = 172,576,861,243.98/547,290.23
  6. Step 6: Final answer
    x = 315,329.69

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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.