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Finding the Fourth Proportional to 383,047.82, 528,600.86 and 213,281.96

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Solution

The fourth proportional to 383,047.82, 528,600.86 and 213,281.96 is: 294,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,047.82 : 528,600.86 = 213,281.96 : x
  2. Step 2: Convert to fraction form
    383,047.82/528,600.86 = 213,281.96/x
  3. Step 3: Cross multiply
    383,047.82x = 528,600.86 × 213,281.96
  4. Step 4: Simplify right side
    383,047.82x = 112,741,027,478.49
  5. Step 5: Solve for x
    x = 112,741,027,478.49/383,047.82
  6. Step 6: Final answer
    x = 294,326.25

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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.