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Finding the Fourth Proportional to 511,556.98, 705,950.04 and 282,108.58

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Solution

The fourth proportional to 511,556.98, 705,950.04 and 282,108.58 is: 389,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,556.98 : 705,950.04 = 282,108.58 : x
  2. Step 2: Convert to fraction form
    511,556.98/705,950.04 = 282,108.58/x
  3. Step 3: Cross multiply
    511,556.98x = 705,950.04 × 282,108.58
  4. Step 4: Simplify right side
    511,556.98x = 199,154,563,335.34
  5. Step 5: Solve for x
    x = 199,154,563,335.34/511,556.98
  6. Step 6: Final answer
    x = 389,310.62

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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.