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Finding the Fourth Proportional to 533,625.40, 800,438.10 and 218,308.60

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Solution

The fourth proportional to 533,625.40, 800,438.10 and 218,308.60 is: 327,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,625.40 : 800,438.10 = 218,308.60 : x
  2. Step 2: Convert to fraction form
    533,625.40/800,438.10 = 218,308.60/x
  3. Step 3: Cross multiply
    533,625.40x = 800,438.10 × 218,308.60
  4. Step 4: Simplify right side
    533,625.40x = 174,742,520,997.66
  5. Step 5: Solve for x
    x = 174,742,520,997.66/533,625.40
  6. Step 6: Final answer
    x = 327,462.90

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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.