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Finding the Fourth Proportional to 383,628, 575,442 and 120,972

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Solution

The fourth proportional to 383,628, 575,442 and 120,972 is: 181,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,628 : 575,442 = 120,972 : x
  2. Step 2: Convert to fraction form
    383,628/575,442 = 120,972/x
  3. Step 3: Cross multiply
    383,628x = 575,442 × 120,972
  4. Step 4: Simplify right side
    383,628x = 69,612,369,624
  5. Step 5: Solve for x
    x = 69,612,369,624/383,628
  6. Step 6: Final answer
    x = 181,458

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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.