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Finding the Fourth Proportional to 678,604.32, 1,017,198 and 229,170.24

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Solution

The fourth proportional to 678,604.32, 1,017,198 and 229,170.24 is: 343,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,604.32 : 1,017,198 = 229,170.24 : x
  2. Step 2: Convert to fraction form
    678,604.32/1,017,198 = 229,170.24/x
  3. Step 3: Cross multiply
    678,604.32x = 1,017,198 × 229,170.24
  4. Step 4: Simplify right side
    678,604.32x = 233,111,509,787.52
  5. Step 5: Solve for x
    x = 233,111,509,787.52/678,604.32
  6. Step 6: Final answer
    x = 343,516.10

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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.