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Finding the Fourth Proportional to 436,415.40, 654,914.70 and 199,636.20

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Solution

The fourth proportional to 436,415.40, 654,914.70 and 199,636.20 is: 299,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,415.40 : 654,914.70 = 199,636.20 : x
  2. Step 2: Convert to fraction form
    436,415.40/654,914.70 = 199,636.20/x
  3. Step 3: Cross multiply
    436,415.40x = 654,914.70 × 199,636.20
  4. Step 4: Simplify right side
    436,415.40x = 130,744,682,032.14
  5. Step 5: Solve for x
    x = 130,744,682,032.14/436,415.40
  6. Step 6: Final answer
    x = 299,587.69

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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.