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Finding the Fourth Proportional to 312,269.26, 468,416.84 and 90,653.26

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Solution

The fourth proportional to 312,269.26, 468,416.84 and 90,653.26 is: 135,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,269.26 : 468,416.84 = 90,653.26 : x
  2. Step 2: Convert to fraction form
    312,269.26/468,416.84 = 90,653.26/x
  3. Step 3: Cross multiply
    312,269.26x = 468,416.84 × 90,653.26
  4. Step 4: Simplify right side
    312,269.26x = 42,463,513,584.90
  5. Step 5: Solve for x
    x = 42,463,513,584.90/312,269.26
  6. Step 6: Final answer
    x = 135,983.65

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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.