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Finding the Fourth Proportional to 436,315.14, 654,399.81 and 120,803.94

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Solution

The fourth proportional to 436,315.14, 654,399.81 and 120,803.94 is: 181,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,315.14 : 654,399.81 = 120,803.94 : x
  2. Step 2: Convert to fraction form
    436,315.14/654,399.81 = 120,803.94/x
  3. Step 3: Cross multiply
    436,315.14x = 654,399.81 × 120,803.94
  4. Step 4: Simplify right side
    436,315.14x = 79,054,075,383.25
  5. Step 5: Solve for x
    x = 79,054,075,383.25/436,315.14
  6. Step 6: Final answer
    x = 181,185.73

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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.