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Finding the Fourth Proportional to 299,426.10, 448,749.15 and 121,725.78

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Solution

The fourth proportional to 299,426.10, 448,749.15 and 121,725.78 is: 182,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,426.10 : 448,749.15 = 121,725.78 : x
  2. Step 2: Convert to fraction form
    299,426.10/448,749.15 = 121,725.78/x
  3. Step 3: Cross multiply
    299,426.10x = 448,749.15 × 121,725.78
  4. Step 4: Simplify right side
    299,426.10x = 54,624,340,308.09
  5. Step 5: Solve for x
    x = 54,624,340,308.09/299,426.10
  6. Step 6: Final answer
    x = 182,430.12

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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.