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Finding the Fourth Proportional to 678,399.92, 1,017,703.74 and 222,848

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Solution

The fourth proportional to 678,399.92, 1,017,703.74 and 222,848 is: 334,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,399.92 : 1,017,703.74 = 222,848 : x
  2. Step 2: Convert to fraction form
    678,399.92/1,017,703.74 = 222,848/x
  3. Step 3: Cross multiply
    678,399.92x = 1,017,703.74 × 222,848
  4. Step 4: Simplify right side
    678,399.92x = 226,793,243,051.52
  5. Step 5: Solve for x
    x = 226,793,243,051.52/678,399.92
  6. Step 6: Final answer
    x = 334,306.12

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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.