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Finding the Fourth Proportional to 407,064.88, 610,472.94 and 281,512

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Solution

The fourth proportional to 407,064.88, 610,472.94 and 281,512 is: 422,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,064.88 : 610,472.94 = 281,512 : x
  2. Step 2: Convert to fraction form
    407,064.88/610,472.94 = 281,512/x
  3. Step 3: Cross multiply
    407,064.88x = 610,472.94 × 281,512
  4. Step 4: Simplify right side
    407,064.88x = 171,855,458,285.28
  5. Step 5: Solve for x
    x = 171,855,458,285.28/407,064.88
  6. Step 6: Final answer
    x = 422,181.98

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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.