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Finding the Fourth Proportional to 276,481,206.80, 414,721,810.20 and 204,817,590.80

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Solution

The fourth proportional to 276,481,206.80, 414,721,810.20 and 204,817,590.80 is: 307,226,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,481,206.80 : 414,721,810.20 = 204,817,590.80 : x
  2. Step 2: Convert to fraction form
    276,481,206.80/414,721,810.20 = 204,817,590.80/x
  3. Step 3: Cross multiply
    276,481,206.80x = 414,721,810.20 × 204,817,590.80
  4. Step 4: Simplify right side
    276,481,206.80x = 84,942,322,017,378,864
  5. Step 5: Solve for x
    x = 84,942,322,017,378,864/276,481,206.80
  6. Step 6: Final answer
    x = 307,226,386.20

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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.