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Finding the Fourth Proportional to 646,163.64, 969,245.74 and 290,762.52

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Solution

The fourth proportional to 646,163.64, 969,245.74 and 290,762.52 is: 436,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,163.64 : 969,245.74 = 290,762.52 : x
  2. Step 2: Convert to fraction form
    646,163.64/969,245.74 = 290,762.52/x
  3. Step 3: Cross multiply
    646,163.64x = 969,245.74 × 290,762.52
  4. Step 4: Simplify right side
    646,163.64x = 281,820,333,861.67
  5. Step 5: Solve for x
    x = 281,820,333,861.67/646,163.64
  6. Step 6: Final answer
    x = 436,143.91

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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.