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Finding the Fourth Proportional to 319,166.65, 478,766.37 and 82,511.38

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Solution

The fourth proportional to 319,166.65, 478,766.37 and 82,511.38 is: 123,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,166.65 : 478,766.37 = 82,511.38 : x
  2. Step 2: Convert to fraction form
    319,166.65/478,766.37 = 82,511.38/x
  3. Step 3: Cross multiply
    319,166.65x = 478,766.37 × 82,511.38
  4. Step 4: Simplify right side
    319,166.65x = 39,503,671,492.46
  5. Step 5: Solve for x
    x = 39,503,671,492.46/319,166.65
  6. Step 6: Final answer
    x = 123,771.30

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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.