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Finding the Fourth Proportional to 319,156.88, 478,412.38 and 206,908.41

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Solution

The fourth proportional to 319,156.88, 478,412.38 and 206,908.41 is: 310,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,156.88 : 478,412.38 = 206,908.41 : x
  2. Step 2: Convert to fraction form
    319,156.88/478,412.38 = 206,908.41/x
  3. Step 3: Cross multiply
    319,156.88x = 478,412.38 × 206,908.41
  4. Step 4: Simplify right side
    319,156.88x = 98,987,546,922.80
  5. Step 5: Solve for x
    x = 98,987,546,922.80/319,156.88
  6. Step 6: Final answer
    x = 310,153.27

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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.