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Finding the Fourth Proportional to 370,408.70, 511,166.48 and 200,642.83

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Solution

The fourth proportional to 370,408.70, 511,166.48 and 200,642.83 is: 276,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,408.70 : 511,166.48 = 200,642.83 : x
  2. Step 2: Convert to fraction form
    370,408.70/511,166.48 = 200,642.83/x
  3. Step 3: Cross multiply
    370,408.70x = 511,166.48 × 200,642.83
  4. Step 4: Simplify right side
    370,408.70x = 102,561,886,867.21
  5. Step 5: Solve for x
    x = 102,561,886,867.21/370,408.70
  6. Step 6: Final answer
    x = 276,888.44

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1.5x scale

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.