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Finding the Fourth Proportional to 511,401.52, 705,735.89 and 281,953.83

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Solution

The fourth proportional to 511,401.52, 705,735.89 and 281,953.83 is: 389,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,401.52 : 705,735.89 = 281,953.83 : x
  2. Step 2: Convert to fraction form
    511,401.52/705,735.89 = 281,953.83/x
  3. Step 3: Cross multiply
    511,401.52x = 705,735.89 × 281,953.83
  4. Step 4: Simplify right side
    511,401.52x = 198,984,937,153.96
  5. Step 5: Solve for x
    x = 198,984,937,153.96/511,401.52
  6. Step 6: Final answer
    x = 389,097.27

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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.