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Finding the Fourth Proportional to 319,951.94, 480,015.43 and 140,004.65

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Solution

The fourth proportional to 319,951.94, 480,015.43 and 140,004.65 is: 210,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,951.94 : 480,015.43 = 140,004.65 : x
  2. Step 2: Convert to fraction form
    319,951.94/480,015.43 = 140,004.65/x
  3. Step 3: Cross multiply
    319,951.94x = 480,015.43 × 140,004.65
  4. Step 4: Simplify right side
    319,951.94x = 67,204,393,121.78
  5. Step 5: Solve for x
    x = 67,204,393,121.78/319,951.94
  6. Step 6: Final answer
    x = 210,045.28

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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.