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Finding the Fourth Proportional to 312,450, 468,754.92 and 90,834

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Solution

The fourth proportional to 312,450, 468,754.92 and 90,834 is: 136,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,450 : 468,754.92 = 90,834 : x
  2. Step 2: Convert to fraction form
    312,450/468,754.92 = 90,834/x
  3. Step 3: Cross multiply
    312,450x = 468,754.92 × 90,834
  4. Step 4: Simplify right side
    312,450x = 42,578,884,403.28
  5. Step 5: Solve for x
    x = 42,578,884,403.28/312,450
  6. Step 6: Final answer
    x = 136,274.23

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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.