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Finding the Fourth Proportional to 631,586.64, 871,589.78 and 341,198.32

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Solution

The fourth proportional to 631,586.64, 871,589.78 and 341,198.32 is: 470,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,586.64 : 871,589.78 = 341,198.32 : x
  2. Step 2: Convert to fraction form
    631,586.64/871,589.78 = 341,198.32/x
  3. Step 3: Cross multiply
    631,586.64x = 871,589.78 × 341,198.32
  4. Step 4: Simplify right side
    631,586.64x = 297,384,968,665.17
  5. Step 5: Solve for x
    x = 297,384,968,665.17/631,586.64
  6. Step 6: Final answer
    x = 470,853.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.