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Finding the Fourth Proportional to 319,078.20, 478,034.10 and 259,591.80

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Solution

The fourth proportional to 319,078.20, 478,034.10 and 259,591.80 is: 388,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,078.20 : 478,034.10 = 259,591.80 : x
  2. Step 2: Convert to fraction form
    319,078.20/478,034.10 = 259,591.80/x
  3. Step 3: Cross multiply
    319,078.20x = 478,034.10 × 259,591.80
  4. Step 4: Simplify right side
    319,078.20x = 124,093,732,480.38
  5. Step 5: Solve for x
    x = 124,093,732,480.38/319,078.20
  6. Step 6: Final answer
    x = 388,913.23

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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.