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Finding the Fourth Proportional to 511,688.42, 706,324.57 and 384,732.80

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Solution

The fourth proportional to 511,688.42, 706,324.57 and 384,732.80 is: 531,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,688.42 : 706,324.57 = 384,732.80 : x
  2. Step 2: Convert to fraction form
    511,688.42/706,324.57 = 384,732.80/x
  3. Step 3: Cross multiply
    511,688.42x = 706,324.57 × 384,732.80
  4. Step 4: Simplify right side
    511,688.42x = 271,746,229,524.90
  5. Step 5: Solve for x
    x = 271,746,229,524.90/511,688.42
  6. Step 6: Final answer
    x = 531,077.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.