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Finding the Fourth Proportional to 299,267.28, 448,638.12 and 121,923.48

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Solution

The fourth proportional to 299,267.28, 448,638.12 and 121,923.48 is: 182,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,267.28 : 448,638.12 = 121,923.48 : x
  2. Step 2: Convert to fraction form
    299,267.28/448,638.12 = 121,923.48/x
  3. Step 3: Cross multiply
    299,267.28x = 448,638.12 × 121,923.48
  4. Step 4: Simplify right side
    299,267.28x = 54,699,520,851.06
  5. Step 5: Solve for x
    x = 54,699,520,851.06/299,267.28
  6. Step 6: Final answer
    x = 182,778.15

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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.