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Finding the Fourth Proportional to 421,720.32, 631,556.64 and 231,890.88

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Solution

The fourth proportional to 421,720.32, 631,556.64 and 231,890.88 is: 347,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,720.32 : 631,556.64 = 231,890.88 : x
  2. Step 2: Convert to fraction form
    421,720.32/631,556.64 = 231,890.88/x
  3. Step 3: Cross multiply
    421,720.32x = 631,556.64 × 231,890.88
  4. Step 4: Simplify right side
    421,720.32x = 146,452,225,019.44
  5. Step 5: Solve for x
    x = 146,452,225,019.44/421,720.32
  6. Step 6: Final answer
    x = 347,273.34

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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.