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Finding the Fourth Proportional to 320,377.69, 480,329.25 and 193,988.22

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Solution

The fourth proportional to 320,377.69, 480,329.25 and 193,988.22 is: 290,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,377.69 : 480,329.25 = 193,988.22 : x
  2. Step 2: Convert to fraction form
    320,377.69/480,329.25 = 193,988.22/x
  3. Step 3: Cross multiply
    320,377.69x = 480,329.25 × 193,988.22
  4. Step 4: Simplify right side
    320,377.69x = 93,178,216,221.44
  5. Step 5: Solve for x
    x = 93,178,216,221.44/320,377.69
  6. Step 6: Final answer
    x = 290,838.65

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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.