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Finding the Fourth Proportional to 448,142.64, 618,408 and 266,868

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Solution

The fourth proportional to 448,142.64, 618,408 and 266,868 is: 368,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,142.64 : 618,408 = 266,868 : x
  2. Step 2: Convert to fraction form
    448,142.64/618,408 = 266,868/x
  3. Step 3: Cross multiply
    448,142.64x = 618,408 × 266,868
  4. Step 4: Simplify right side
    448,142.64x = 165,033,306,144
  5. Step 5: Solve for x
    x = 165,033,306,144/448,142.64
  6. Step 6: Final answer
    x = 368,260.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.