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Finding the Fourth Proportional to 421,233, 631,960.14 and 151,388.37

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Solution

The fourth proportional to 421,233, 631,960.14 and 151,388.37 is: 227,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,233 : 631,960.14 = 151,388.37 : x
  2. Step 2: Convert to fraction form
    421,233/631,960.14 = 151,388.37/x
  3. Step 3: Cross multiply
    421,233x = 631,960.14 × 151,388.37
  4. Step 4: Simplify right side
    421,233x = 95,671,415,499.57
  5. Step 5: Solve for x
    x = 95,671,415,499.57/421,233
  6. Step 6: Final answer
    x = 227,122.32

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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.