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Finding the Fourth Proportional to 218,415.66, 327,702.34 and 76,281.86

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Solution

The fourth proportional to 218,415.66, 327,702.34 and 76,281.86 is: 114,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,415.66 : 327,702.34 = 76,281.86 : x
  2. Step 2: Convert to fraction form
    218,415.66/327,702.34 = 76,281.86/x
  3. Step 3: Cross multiply
    218,415.66x = 327,702.34 × 76,281.86
  4. Step 4: Simplify right side
    218,415.66x = 24,997,744,021.55
  5. Step 5: Solve for x
    x = 24,997,744,021.55/218,415.66
  6. Step 6: Final answer
    x = 114,450.33

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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.