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Finding the Fourth Proportional to 383,531.84, 575,380.85 and 146,874.54

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Solution

The fourth proportional to 383,531.84, 575,380.85 and 146,874.54 is: 220,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,531.84 : 575,380.85 = 146,874.54 : x
  2. Step 2: Convert to fraction form
    383,531.84/575,380.85 = 146,874.54/x
  3. Step 3: Cross multiply
    383,531.84x = 575,380.85 × 146,874.54
  4. Step 4: Simplify right side
    383,531.84x = 84,508,796,934.19
  5. Step 5: Solve for x
    x = 84,508,796,934.19/383,531.84
  6. Step 6: Final answer
    x = 220,343.63

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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.