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Finding the Fourth Proportional to 684,892.78, 945,231.87 and 398,424.94

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Solution

The fourth proportional to 684,892.78, 945,231.87 and 398,424.94 is: 549,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,892.78 : 945,231.87 = 398,424.94 : x
  2. Step 2: Convert to fraction form
    684,892.78/945,231.87 = 398,424.94/x
  3. Step 3: Cross multiply
    684,892.78x = 945,231.87 × 398,424.94
  4. Step 4: Simplify right side
    684,892.78x = 376,603,951,090.84
  5. Step 5: Solve for x
    x = 376,603,951,090.84/684,892.78
  6. Step 6: Final answer
    x = 549,872.86

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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.