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Finding the Fourth Proportional to 421,873.37, 632,875.78 and 137,497.94

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Solution

The fourth proportional to 421,873.37, 632,875.78 and 137,497.94 is: 206,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,873.37 : 632,875.78 = 137,497.94 : x
  2. Step 2: Convert to fraction form
    421,873.37/632,875.78 = 137,497.94/x
  3. Step 3: Cross multiply
    421,873.37x = 632,875.78 × 137,497.94
  4. Step 4: Simplify right side
    421,873.37x = 87,019,112,861.51
  5. Step 5: Solve for x
    x = 87,019,112,861.51/421,873.37
  6. Step 6: Final answer
    x = 206,268.33

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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.