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Finding the Fourth Proportional to 312,671.98, 469,003.77 and 76,013.98

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Solution

The fourth proportional to 312,671.98, 469,003.77 and 76,013.98 is: 114,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,671.98 : 469,003.77 = 76,013.98 : x
  2. Step 2: Convert to fraction form
    312,671.98/469,003.77 = 76,013.98/x
  3. Step 3: Cross multiply
    312,671.98x = 469,003.77 × 76,013.98
  4. Step 4: Simplify right side
    312,671.98x = 35,650,843,192.70
  5. Step 5: Solve for x
    x = 35,650,843,192.70/312,671.98
  6. Step 6: Final answer
    x = 114,019.95

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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.