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Finding the Fourth Proportional to 421,613.20, 632,201.10 and 155,236.60

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Solution

The fourth proportional to 421,613.20, 632,201.10 and 155,236.60 is: 232,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,613.20 : 632,201.10 = 155,236.60 : x
  2. Step 2: Convert to fraction form
    421,613.20/632,201.10 = 155,236.60/x
  3. Step 3: Cross multiply
    421,613.20x = 632,201.10 × 155,236.60
  4. Step 4: Simplify right side
    421,613.20x = 98,140,749,280.26
  5. Step 5: Solve for x
    x = 98,140,749,280.26/421,613.20
  6. Step 6: Final answer
    x = 232,774.38

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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.