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Finding the Fourth Proportional to 587,539.20, 881,438.40 and 188,198.40

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Solution

The fourth proportional to 587,539.20, 881,438.40 and 188,198.40 is: 282,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,539.20 : 881,438.40 = 188,198.40 : x
  2. Step 2: Convert to fraction form
    587,539.20/881,438.40 = 188,198.40/x
  3. Step 3: Cross multiply
    587,539.20x = 881,438.40 × 188,198.40
  4. Step 4: Simplify right side
    587,539.20x = 165,885,296,578.56
  5. Step 5: Solve for x
    x = 165,885,296,578.56/587,539.20
  6. Step 6: Final answer
    x = 282,339.11

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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.