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Finding the Fourth Proportional to 319,144.58, 478,715.43 and 82,467.14

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Solution

The fourth proportional to 319,144.58, 478,715.43 and 82,467.14 is: 123,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,144.58 : 478,715.43 = 82,467.14 : x
  2. Step 2: Convert to fraction form
    319,144.58/478,715.43 = 82,467.14/x
  3. Step 3: Cross multiply
    319,144.58x = 478,715.43 × 82,467.14
  4. Step 4: Simplify right side
    319,144.58x = 39,478,292,385.97
  5. Step 5: Solve for x
    x = 39,478,292,385.97/319,144.58
  6. Step 6: Final answer
    x = 123,700.34

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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.