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Finding the Fourth Proportional to 322,045.32, 483,161.47 and 129,820.54

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Solution

The fourth proportional to 322,045.32, 483,161.47 and 129,820.54 is: 194,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,045.32 : 483,161.47 = 129,820.54 : x
  2. Step 2: Convert to fraction form
    322,045.32/483,161.47 = 129,820.54/x
  3. Step 3: Cross multiply
    322,045.32x = 483,161.47 × 129,820.54
  4. Step 4: Simplify right side
    322,045.32x = 62,724,282,942.59
  5. Step 5: Solve for x
    x = 62,724,282,942.59/322,045.32
  6. Step 6: Final answer
    x = 194,768.50

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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.