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Finding the Fourth Proportional to 298,788.30, 448,437.60 and 121,422.60

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Solution

The fourth proportional to 298,788.30, 448,437.60 and 121,422.60 is: 182,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,788.30 : 448,437.60 = 121,422.60 : x
  2. Step 2: Convert to fraction form
    298,788.30/448,437.60 = 121,422.60/x
  3. Step 3: Cross multiply
    298,788.30x = 448,437.60 × 121,422.60
  4. Step 4: Simplify right side
    298,788.30x = 54,450,459,329.76
  5. Step 5: Solve for x
    x = 54,450,459,329.76/298,788.30
  6. Step 6: Final answer
    x = 182,237.59

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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.