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Finding the Fourth Proportional to 421,670.08, 632,589.78 and 155,431.96

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Solution

The fourth proportional to 421,670.08, 632,589.78 and 155,431.96 is: 233,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,670.08 : 632,589.78 = 155,431.96 : x
  2. Step 2: Convert to fraction form
    421,670.08/632,589.78 = 155,431.96/x
  3. Step 3: Cross multiply
    421,670.08x = 632,589.78 × 155,431.96
  4. Step 4: Simplify right side
    421,670.08x = 98,324,669,381.37
  5. Step 5: Solve for x
    x = 98,324,669,381.37/421,670.08
  6. Step 6: Final answer
    x = 233,179.15

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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.