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Finding the Fourth Proportional to 257,475, 386,213.04 and 109,731

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Solution

The fourth proportional to 257,475, 386,213.04 and 109,731 is: 164,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,475 : 386,213.04 = 109,731 : x
  2. Step 2: Convert to fraction form
    257,475/386,213.04 = 109,731/x
  3. Step 3: Cross multiply
    257,475x = 386,213.04 × 109,731
  4. Step 4: Simplify right side
    257,475x = 42,379,543,092.24
  5. Step 5: Solve for x
    x = 42,379,543,092.24/257,475
  6. Step 6: Final answer
    x = 164,596.73

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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.