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Finding the Fourth Proportional to 509,020.80, 763,843.20 and 209,644.80

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Solution

The fourth proportional to 509,020.80, 763,843.20 and 209,644.80 is: 314,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,020.80 : 763,843.20 = 209,644.80 : x
  2. Step 2: Convert to fraction form
    509,020.80/763,843.20 = 209,644.80/x
  3. Step 3: Cross multiply
    509,020.80x = 763,843.20 × 209,644.80
  4. Step 4: Simplify right side
    509,020.80x = 160,135,754,895.36
  5. Step 5: Solve for x
    x = 160,135,754,895.36/509,020.80
  6. Step 6: Final answer
    x = 314,595.70

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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.