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Finding the Fourth Proportional to 383,811.39, 574,602 and 223,397.68

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Solution

The fourth proportional to 383,811.39, 574,602 and 223,397.68 is: 334,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,811.39 : 574,602 = 223,397.68 : x
  2. Step 2: Convert to fraction form
    383,811.39/574,602 = 223,397.68/x
  3. Step 3: Cross multiply
    383,811.39x = 574,602 × 223,397.68
  4. Step 4: Simplify right side
    383,811.39x = 128,364,753,723.36
  5. Step 5: Solve for x
    x = 128,364,753,723.36/383,811.39
  6. Step 6: Final answer
    x = 334,447.48

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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.