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Finding the Fourth Proportional to 546,618.20, 819,271.20 and 280,241.60

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Solution

The fourth proportional to 546,618.20, 819,271.20 and 280,241.60 is: 420,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,618.20 : 819,271.20 = 280,241.60 : x
  2. Step 2: Convert to fraction form
    546,618.20/819,271.20 = 280,241.60/x
  3. Step 3: Cross multiply
    546,618.20x = 819,271.20 × 280,241.60
  4. Step 4: Simplify right side
    546,618.20x = 229,593,871,921.92
  5. Step 5: Solve for x
    x = 229,593,871,921.92/546,618.20
  6. Step 6: Final answer
    x = 420,026.03

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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.