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Finding the Fourth Proportional to 418,234.21, 626,998.64 and 181,398.51

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Solution

The fourth proportional to 418,234.21, 626,998.64 and 181,398.51 is: 271,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,234.21 : 626,998.64 = 181,398.51 : x
  2. Step 2: Convert to fraction form
    418,234.21/626,998.64 = 181,398.51/x
  3. Step 3: Cross multiply
    418,234.21x = 626,998.64 × 181,398.51
  4. Step 4: Simplify right side
    418,234.21x = 113,736,619,068.03
  5. Step 5: Solve for x
    x = 113,736,619,068.03/418,234.21
  6. Step 6: Final answer
    x = 271,944.80

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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.