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Finding the Fourth Proportional to 343,884.88, 515,739.84 and 133,408

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Solution

The fourth proportional to 343,884.88, 515,739.84 and 133,408 is: 200,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,884.88 : 515,739.84 = 133,408 : x
  2. Step 2: Convert to fraction form
    343,884.88/515,739.84 = 133,408/x
  3. Step 3: Cross multiply
    343,884.88x = 515,739.84 × 133,408
  4. Step 4: Simplify right side
    343,884.88x = 68,803,820,574.72
  5. Step 5: Solve for x
    x = 68,803,820,574.72/343,884.88
  6. Step 6: Final answer
    x = 200,078.06

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1.5x scale

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.