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Finding the Fourth Proportional to 407,043.88, 610,441.44 and 281,491

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Solution

The fourth proportional to 407,043.88, 610,441.44 and 281,491 is: 422,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,043.88 : 610,441.44 = 281,491 : x
  2. Step 2: Convert to fraction form
    407,043.88/610,441.44 = 281,491/x
  3. Step 3: Cross multiply
    407,043.88x = 610,441.44 × 281,491
  4. Step 4: Simplify right side
    407,043.88x = 171,833,771,387.04
  5. Step 5: Solve for x
    x = 171,833,771,387.04/407,043.88
  6. Step 6: Final answer
    x = 422,150.49

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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.