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Finding the Fourth Proportional to 498,374.04, 687,845.34 and 297,183

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Solution

The fourth proportional to 498,374.04, 687,845.34 and 297,183 is: 410,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,374.04 : 687,845.34 = 297,183 : x
  2. Step 2: Convert to fraction form
    498,374.04/687,845.34 = 297,183/x
  3. Step 3: Cross multiply
    498,374.04x = 687,845.34 × 297,183
  4. Step 4: Simplify right side
    498,374.04x = 204,415,941,677.22
  5. Step 5: Solve for x
    x = 204,415,941,677.22/498,374.04
  6. Step 6: Final answer
    x = 410,165.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.