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Finding the Fourth Proportional to 436,709.82, 654,675.14 and 170,408.40

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Solution

The fourth proportional to 436,709.82, 654,675.14 and 170,408.40 is: 255,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,709.82 : 654,675.14 = 170,408.40 : x
  2. Step 2: Convert to fraction form
    436,709.82/654,675.14 = 170,408.40/x
  3. Step 3: Cross multiply
    436,709.82x = 654,675.14 × 170,408.40
  4. Step 4: Simplify right side
    436,709.82x = 111,562,143,127.18
  5. Step 5: Solve for x
    x = 111,562,143,127.18/436,709.82
  6. Step 6: Final answer
    x = 255,460.58

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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.