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Finding the Fourth Proportional to 421,578.36, 632,375.78 and 155,201.76

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Solution

The fourth proportional to 421,578.36, 632,375.78 and 155,201.76 is: 232,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,578.36 : 632,375.78 = 155,201.76 : x
  2. Step 2: Convert to fraction form
    421,578.36/632,375.78 = 155,201.76/x
  3. Step 3: Cross multiply
    421,578.36x = 632,375.78 × 155,201.76
  4. Step 4: Simplify right side
    421,578.36x = 98,145,833,261.36
  5. Step 5: Solve for x
    x = 98,145,833,261.36/421,578.36
  6. Step 6: Final answer
    x = 232,805.67

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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.