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Finding the Fourth Proportional to 354,638.80, 531,241.40 and 221,109.20

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Solution

The fourth proportional to 354,638.80, 531,241.40 and 221,109.20 is: 331,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638.80 : 531,241.40 = 221,109.20 : x
  2. Step 2: Convert to fraction form
    354,638.80/531,241.40 = 221,109.20/x
  3. Step 3: Cross multiply
    354,638.80x = 531,241.40 × 221,109.20
  4. Step 4: Simplify right side
    354,638.80x = 117,462,360,960.88
  5. Step 5: Solve for x
    x = 117,462,360,960.88/354,638.80
  6. Step 6: Final answer
    x = 331,216.89

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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.