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Finding the Fourth Proportional to 513,821.87, 770,806.66 and 158,863.57

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Solution

The fourth proportional to 513,821.87, 770,806.66 and 158,863.57 is: 238,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,821.87 : 770,806.66 = 158,863.57 : x
  2. Step 2: Convert to fraction form
    513,821.87/770,806.66 = 158,863.57/x
  3. Step 3: Cross multiply
    513,821.87x = 770,806.66 × 158,863.57
  4. Step 4: Simplify right side
    513,821.87x = 122,453,097,482.16
  5. Step 5: Solve for x
    x = 122,453,097,482.16/513,821.87
  6. Step 6: Final answer
    x = 238,318.19

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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.