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Finding the Fourth Proportional to 407,016.53, 610,399.84 and 281,463.60

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Solution

The fourth proportional to 407,016.53, 610,399.84 and 281,463.60 is: 422,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,016.53 : 610,399.84 = 281,463.60 : x
  2. Step 2: Convert to fraction form
    407,016.53/610,399.84 = 281,463.60/x
  3. Step 3: Cross multiply
    407,016.53x = 610,399.84 × 281,463.60
  4. Step 4: Simplify right side
    407,016.53x = 171,805,334,996.40
  5. Step 5: Solve for x
    x = 171,805,334,996.40/407,016.53
  6. Step 6: Final answer
    x = 422,108.98

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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.