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Finding the Fourth Proportional to 216,513,843.20, 324,770,764.80 and 170,597,340.80

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Solution

The fourth proportional to 216,513,843.20, 324,770,764.80 and 170,597,340.80 is: 255,896,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,513,843.20 : 324,770,764.80 = 170,597,340.80 : x
  2. Step 2: Convert to fraction form
    216,513,843.20/324,770,764.80 = 170,597,340.80/x
  3. Step 3: Cross multiply
    216,513,843.20x = 324,770,764.80 × 170,597,340.80
  4. Step 4: Simplify right side
    216,513,843.20x = 55,405,028,844,462,248
  5. Step 5: Solve for x
    x = 55,405,028,844,462,248/216,513,843.20
  6. Step 6: Final answer
    x = 255,896,011.20

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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.