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Finding the Fourth Proportional to 647,771.98, 971,424.66 and 273,824.14

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Solution

The fourth proportional to 647,771.98, 971,424.66 and 273,824.14 is: 410,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,771.98 : 971,424.66 = 273,824.14 : x
  2. Step 2: Convert to fraction form
    647,771.98/971,424.66 = 273,824.14/x
  3. Step 3: Cross multiply
    647,771.98x = 971,424.66 × 273,824.14
  4. Step 4: Simplify right side
    647,771.98x = 265,999,522,099.29
  5. Step 5: Solve for x
    x = 265,999,522,099.29/647,771.98
  6. Step 6: Final answer
    x = 410,637.59

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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.