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Finding the Fourth Proportional to 448,709.68, 672,918.96 and 149,109.76

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Solution

The fourth proportional to 448,709.68, 672,918.96 and 149,109.76 is: 223,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,709.68 : 672,918.96 = 149,109.76 : x
  2. Step 2: Convert to fraction form
    448,709.68/672,918.96 = 149,109.76/x
  3. Step 3: Cross multiply
    448,709.68x = 672,918.96 × 149,109.76
  4. Step 4: Simplify right side
    448,709.68x = 100,338,784,625.05
  5. Step 5: Solve for x
    x = 100,338,784,625.05/448,709.68
  6. Step 6: Final answer
    x = 223,616.27

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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.