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Finding the Fourth Proportional to 421,594.20, 632,172.60 and 155,217.60

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Solution

The fourth proportional to 421,594.20, 632,172.60 and 155,217.60 is: 232,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,594.20 : 632,172.60 = 155,217.60 : x
  2. Step 2: Convert to fraction form
    421,594.20/632,172.60 = 155,217.60/x
  3. Step 3: Cross multiply
    421,594.20x = 632,172.60 × 155,217.60
  4. Step 4: Simplify right side
    421,594.20x = 98,124,313,757.76
  5. Step 5: Solve for x
    x = 98,124,313,757.76/421,594.20
  6. Step 6: Final answer
    x = 232,745.88

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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.