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Finding the Fourth Proportional to 319,047.66, 478,580.78 and 119,329.94

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Solution

The fourth proportional to 319,047.66, 478,580.78 and 119,329.94 is: 178,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,047.66 : 478,580.78 = 119,329.94 : x
  2. Step 2: Convert to fraction form
    319,047.66/478,580.78 = 119,329.94/x
  3. Step 3: Cross multiply
    319,047.66x = 478,580.78 × 119,329.94
  4. Step 4: Simplify right side
    319,047.66x = 57,109,017,257.33
  5. Step 5: Solve for x
    x = 57,109,017,257.33/319,047.66
  6. Step 6: Final answer
    x = 178,998.39

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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.