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Finding the Fourth Proportional to 319,143.54, 478,860.64 and 119,479.49

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Solution

The fourth proportional to 319,143.54, 478,860.64 and 119,479.49 is: 179,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,143.54 : 478,860.64 = 119,479.49 : x
  2. Step 2: Convert to fraction form
    319,143.54/478,860.64 = 119,479.49/x
  3. Step 3: Cross multiply
    319,143.54x = 478,860.64 × 119,479.49
  4. Step 4: Simplify right side
    319,143.54x = 57,214,022,355.27
  5. Step 5: Solve for x
    x = 57,214,022,355.27/319,143.54
  6. Step 6: Final answer
    x = 179,273.63

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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.