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Finding the Fourth Proportional to 319,161.65, 478,758.87 and 82,506.38

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Solution

The fourth proportional to 319,161.65, 478,758.87 and 82,506.38 is: 123,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,161.65 : 478,758.87 = 82,506.38 : x
  2. Step 2: Convert to fraction form
    319,161.65/478,758.87 = 82,506.38/x
  3. Step 3: Cross multiply
    319,161.65x = 478,758.87 × 82,506.38
  4. Step 4: Simplify right side
    319,161.65x = 39,500,658,862.80
  5. Step 5: Solve for x
    x = 39,500,658,862.80/319,161.65
  6. Step 6: Final answer
    x = 123,763.80

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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.