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Finding the Fourth Proportional to 419,275.56, 629,011.62 and 138,792.72

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Solution

The fourth proportional to 419,275.56, 629,011.62 and 138,792.72 is: 208,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,275.56 : 629,011.62 = 138,792.72 : x
  2. Step 2: Convert to fraction form
    419,275.56/629,011.62 = 138,792.72/x
  3. Step 3: Cross multiply
    419,275.56x = 629,011.62 × 138,792.72
  4. Step 4: Simplify right side
    419,275.56x = 87,302,233,651.41
  5. Step 5: Solve for x
    x = 87,302,233,651.41/419,275.56
  6. Step 6: Final answer
    x = 208,221.61

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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.