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Finding the Fourth Proportional to 312,589, 468,961.26 and 90,973

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Solution

The fourth proportional to 312,589, 468,961.26 and 90,973 is: 136,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,589 : 468,961.26 = 90,973 : x
  2. Step 2: Convert to fraction form
    312,589/468,961.26 = 90,973/x
  3. Step 3: Cross multiply
    312,589x = 468,961.26 × 90,973
  4. Step 4: Simplify right side
    312,589x = 42,662,812,705.98
  5. Step 5: Solve for x
    x = 42,662,812,705.98/312,589
  6. Step 6: Final answer
    x = 136,482.13

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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.