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Finding the Fourth Proportional to 319,008.88, 478,515.14 and 82,335.38

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Solution

The fourth proportional to 319,008.88, 478,515.14 and 82,335.38 is: 123,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,008.88 : 478,515.14 = 82,335.38 : x
  2. Step 2: Convert to fraction form
    319,008.88/478,515.14 = 82,335.38/x
  3. Step 3: Cross multiply
    319,008.88x = 478,515.14 × 82,335.38
  4. Step 4: Simplify right side
    319,008.88x = 39,398,725,475.98
  5. Step 5: Solve for x
    x = 39,398,725,475.98/319,008.88
  6. Step 6: Final answer
    x = 123,503.54

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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.