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Finding the Fourth Proportional to 345,343.21, 518,080.43 and 120,767.47

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Solution

The fourth proportional to 345,343.21, 518,080.43 and 120,767.47 is: 181,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,343.21 : 518,080.43 = 120,767.47 : x
  2. Step 2: Convert to fraction form
    345,343.21/518,080.43 = 120,767.47/x
  3. Step 3: Cross multiply
    345,343.21x = 518,080.43 × 120,767.47
  4. Step 4: Simplify right side
    345,343.21x = 62,567,262,183.77
  5. Step 5: Solve for x
    x = 62,567,262,183.77/345,343.21
  6. Step 6: Final answer
    x = 181,174.15

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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.