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Finding the Fourth Proportional to 421,889.58, 632,674.80 and 137,505.60

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Solution

The fourth proportional to 421,889.58, 632,674.80 and 137,505.60 is: 206,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,889.58 : 632,674.80 = 137,505.60 : x
  2. Step 2: Convert to fraction form
    421,889.58/632,674.80 = 137,505.60/x
  3. Step 3: Cross multiply
    421,889.58x = 632,674.80 × 137,505.60
  4. Step 4: Simplify right side
    421,889.58x = 86,996,327,978.88
  5. Step 5: Solve for x
    x = 86,996,327,978.88/421,889.58
  6. Step 6: Final answer
    x = 206,206.39

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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.