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Finding the Fourth Proportional to 309,622, 464,474.40 and 122,589.76

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Solution

The fourth proportional to 309,622, 464,474.40 and 122,589.76 is: 183,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,622 : 464,474.40 = 122,589.76 : x
  2. Step 2: Convert to fraction form
    309,622/464,474.40 = 122,589.76/x
  3. Step 3: Cross multiply
    309,622x = 464,474.40 × 122,589.76
  4. Step 4: Simplify right side
    309,622x = 56,939,805,222.14
  5. Step 5: Solve for x
    x = 56,939,805,222.14/309,622
  6. Step 6: Final answer
    x = 183,901.03

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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.