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Finding the Fourth Proportional to 312,269.25, 468,416.85 and 90,653.25

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Solution

The fourth proportional to 312,269.25, 468,416.85 and 90,653.25 is: 135,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,269.25 : 468,416.85 = 90,653.25 : x
  2. Step 2: Convert to fraction form
    312,269.25/468,416.85 = 90,653.25/x
  3. Step 3: Cross multiply
    312,269.25x = 468,416.85 × 90,653.25
  4. Step 4: Simplify right side
    312,269.25x = 42,463,509,807.26
  5. Step 5: Solve for x
    x = 42,463,509,807.26/312,269.25
  6. Step 6: Final answer
    x = 135,983.64

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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.