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Finding the Fourth Proportional to 421,441.38, 632,224.98 and 155,181.42

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Solution

The fourth proportional to 421,441.38, 632,224.98 and 155,181.42 is: 232,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,441.38 : 632,224.98 = 155,181.42 : x
  2. Step 2: Convert to fraction form
    421,441.38/632,224.98 = 155,181.42/x
  3. Step 3: Cross multiply
    421,441.38x = 632,224.98 × 155,181.42
  4. Step 4: Simplify right side
    421,441.38x = 98,109,570,155.87
  5. Step 5: Solve for x
    x = 98,109,570,155.87/421,441.38
  6. Step 6: Final answer
    x = 232,795.29

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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.