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Finding the Fourth Proportional to 421,672.37, 632,334.53 and 161,970.72

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Solution

The fourth proportional to 421,672.37, 632,334.53 and 161,970.72 is: 242,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,672.37 : 632,334.53 = 161,970.72 : x
  2. Step 2: Convert to fraction form
    421,672.37/632,334.53 = 161,970.72/x
  3. Step 3: Cross multiply
    421,672.37x = 632,334.53 × 161,970.72
  4. Step 4: Simplify right side
    421,672.37x = 102,419,678,295.11
  5. Step 5: Solve for x
    x = 102,419,678,295.11/421,672.37
  6. Step 6: Final answer
    x = 242,889.24

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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.