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Finding the Fourth Proportional to 643,923.98, 965,886 and 223,199.84

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Solution

The fourth proportional to 643,923.98, 965,886 and 223,199.84 is: 334,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,923.98 : 965,886 = 223,199.84 : x
  2. Step 2: Convert to fraction form
    643,923.98/965,886 = 223,199.84/x
  3. Step 3: Cross multiply
    643,923.98x = 965,886 × 223,199.84
  4. Step 4: Simplify right side
    643,923.98x = 215,585,600,658.24
  5. Step 5: Solve for x
    x = 215,585,600,658.24/643,923.98
  6. Step 6: Final answer
    x = 334,799.77

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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.