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Finding the Fourth Proportional to 383,506.78, 529,257.38 and 213,742.12

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Solution

The fourth proportional to 383,506.78, 529,257.38 and 213,742.12 is: 294,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,506.78 : 529,257.38 = 213,742.12 : x
  2. Step 2: Convert to fraction form
    383,506.78/529,257.38 = 213,742.12/x
  3. Step 3: Cross multiply
    383,506.78x = 529,257.38 × 213,742.12
  4. Step 4: Simplify right side
    383,506.78x = 113,124,594,426.85
  5. Step 5: Solve for x
    x = 113,124,594,426.85/383,506.78
  6. Step 6: Final answer
    x = 294,974.17

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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.