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Finding the Fourth Proportional to 328,238.44, 492,410.24 and 138,700.66

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Solution

The fourth proportional to 328,238.44, 492,410.24 and 138,700.66 is: 208,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,238.44 : 492,410.24 = 138,700.66 : x
  2. Step 2: Convert to fraction form
    328,238.44/492,410.24 = 138,700.66/x
  3. Step 3: Cross multiply
    328,238.44x = 492,410.24 × 138,700.66
  4. Step 4: Simplify right side
    328,238.44x = 68,297,625,278.76
  5. Step 5: Solve for x
    x = 68,297,625,278.76/328,238.44
  6. Step 6: Final answer
    x = 208,073.21

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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.