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Finding the Fourth Proportional to 313,019.94, 431,824.05 and 185,649.06

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Solution

The fourth proportional to 313,019.94, 431,824.05 and 185,649.06 is: 256,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,019.94 : 431,824.05 = 185,649.06 : x
  2. Step 2: Convert to fraction form
    313,019.94/431,824.05 = 185,649.06/x
  3. Step 3: Cross multiply
    313,019.94x = 431,824.05 × 185,649.06
  4. Step 4: Simplify right side
    313,019.94x = 80,167,728,967.89
  5. Step 5: Solve for x
    x = 80,167,728,967.89/313,019.94
  6. Step 6: Final answer
    x = 256,110.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.