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Finding the Fourth Proportional to 421,771.37, 631,862.58 and 208,289.48

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Solution

The fourth proportional to 421,771.37, 631,862.58 and 208,289.48 is: 312,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,771.37 : 631,862.58 = 208,289.48 : x
  2. Step 2: Convert to fraction form
    421,771.37/631,862.58 = 208,289.48/x
  3. Step 3: Cross multiply
    421,771.37x = 631,862.58 × 208,289.48
  4. Step 4: Simplify right side
    421,771.37x = 131,610,329,799.32
  5. Step 5: Solve for x
    x = 131,610,329,799.32/421,771.37
  6. Step 6: Final answer
    x = 312,041.88

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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.