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Finding the Fourth Proportional to 511,636.50, 706,080.24 and 285,282

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Solution

The fourth proportional to 511,636.50, 706,080.24 and 285,282 is: 393,701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,636.50 : 706,080.24 = 285,282 : x
  2. Step 2: Convert to fraction form
    511,636.50/706,080.24 = 285,282/x
  3. Step 3: Cross multiply
    511,636.50x = 706,080.24 × 285,282
  4. Step 4: Simplify right side
    511,636.50x = 201,431,983,027.68
  5. Step 5: Solve for x
    x = 201,431,983,027.68/511,636.50
  6. Step 6: Final answer
    x = 393,701.35

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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.