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Finding the Fourth Proportional to 427,964.48, 641,706.60 and 293,180.87

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Solution

The fourth proportional to 427,964.48, 641,706.60 and 293,180.87 is: 439,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,964.48 : 641,706.60 = 293,180.87 : x
  2. Step 2: Convert to fraction form
    427,964.48/641,706.60 = 293,180.87/x
  3. Step 3: Cross multiply
    427,964.48x = 641,706.60 × 293,180.87
  4. Step 4: Simplify right side
    427,964.48x = 188,136,099,272.74
  5. Step 5: Solve for x
    x = 188,136,099,272.74/427,964.48
  6. Step 6: Final answer
    x = 439,606.81

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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.