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Finding the Fourth Proportional to 421,495.56, 632,249.34 and 137,187.60

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Solution

The fourth proportional to 421,495.56, 632,249.34 and 137,187.60 is: 205,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,495.56 : 632,249.34 = 137,187.60 : x
  2. Step 2: Convert to fraction form
    421,495.56/632,249.34 = 137,187.60/x
  3. Step 3: Cross multiply
    421,495.56x = 632,249.34 × 137,187.60
  4. Step 4: Simplify right side
    421,495.56x = 86,736,769,556.18
  5. Step 5: Solve for x
    x = 86,736,769,556.18/421,495.56
  6. Step 6: Final answer
    x = 205,783.35

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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.