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Finding the Fourth Proportional to 258,872.64, 388,373.64 and 205,764.98

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Solution

The fourth proportional to 258,872.64, 388,373.64 and 205,764.98 is: 308,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,872.64 : 388,373.64 = 205,764.98 : x
  2. Step 2: Convert to fraction form
    258,872.64/388,373.64 = 205,764.98/x
  3. Step 3: Cross multiply
    258,872.64x = 388,373.64 × 205,764.98
  4. Step 4: Simplify right side
    258,872.64x = 79,913,694,267.13
  5. Step 5: Solve for x
    x = 79,913,694,267.13/258,872.64
  6. Step 6: Final answer
    x = 308,698.88

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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.