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Finding the Fourth Proportional to 547,505.40, 820,869.30 and 210,415.80

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Solution

The fourth proportional to 547,505.40, 820,869.30 and 210,415.80 is: 315,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,505.40 : 820,869.30 = 210,415.80 : x
  2. Step 2: Convert to fraction form
    547,505.40/820,869.30 = 210,415.80/x
  3. Step 3: Cross multiply
    547,505.40x = 820,869.30 × 210,415.80
  4. Step 4: Simplify right side
    547,505.40x = 172,723,870,454.94
  5. Step 5: Solve for x
    x = 172,723,870,454.94/547,505.40
  6. Step 6: Final answer
    x = 315,474.28

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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.