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Finding the Fourth Proportional to 547,291.23, 820,964.52 and 210,213.71

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Solution

The fourth proportional to 547,291.23, 820,964.52 and 210,213.71 is: 315,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,291.23 : 820,964.52 = 210,213.71 : x
  2. Step 2: Convert to fraction form
    547,291.23/820,964.52 = 210,213.71/x
  3. Step 3: Cross multiply
    547,291.23x = 820,964.52 × 210,213.71
  4. Step 4: Simplify right side
    547,291.23x = 172,577,997,527.57
  5. Step 5: Solve for x
    x = 172,577,997,527.57/547,291.23
  6. Step 6: Final answer
    x = 315,331.19

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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.