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Finding the Fourth Proportional to 421,724.72, 632,834.76 and 155,505.98

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Solution

The fourth proportional to 421,724.72, 632,834.76 and 155,505.98 is: 233,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,724.72 : 632,834.76 = 155,505.98 : x
  2. Step 2: Convert to fraction form
    421,724.72/632,834.76 = 155,505.98/x
  3. Step 3: Cross multiply
    421,724.72x = 632,834.76 × 155,505.98
  4. Step 4: Simplify right side
    421,724.72x = 98,409,589,531.86
  5. Step 5: Solve for x
    x = 98,409,589,531.86/421,724.72
  6. Step 6: Final answer
    x = 233,350.30

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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.