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Finding the Fourth Proportional to 300,291.63, 450,123.75 and 100,447.68

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Solution

The fourth proportional to 300,291.63, 450,123.75 and 100,447.68 is: 150,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,291.63 : 450,123.75 = 100,447.68 : x
  2. Step 2: Convert to fraction form
    300,291.63/450,123.75 = 100,447.68/x
  3. Step 3: Cross multiply
    300,291.63x = 450,123.75 × 100,447.68
  4. Step 4: Simplify right side
    300,291.63x = 45,213,886,400.40
  5. Step 5: Solve for x
    x = 45,213,886,400.40/300,291.63
  6. Step 6: Final answer
    x = 150,566.59

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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.