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Finding the Fourth Proportional to 319,951.95, 480,015.42 and 140,004.66

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Solution

The fourth proportional to 319,951.95, 480,015.42 and 140,004.66 is: 210,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,951.95 : 480,015.42 = 140,004.66 : x
  2. Step 2: Convert to fraction form
    319,951.95/480,015.42 = 140,004.66/x
  3. Step 3: Cross multiply
    319,951.95x = 480,015.42 × 140,004.66
  4. Step 4: Simplify right side
    319,951.95x = 67,204,395,671.86
  5. Step 5: Solve for x
    x = 67,204,395,671.86/319,951.95
  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.