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Finding the Fourth Proportional to 511,639.50, 706,084.38 and 285,285

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Solution

The fourth proportional to 511,639.50, 706,084.38 and 285,285 is: 393,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,639.50 : 706,084.38 = 285,285 : x
  2. Step 2: Convert to fraction form
    511,639.50/706,084.38 = 285,285/x
  3. Step 3: Cross multiply
    511,639.50x = 706,084.38 × 285,285
  4. Step 4: Simplify right side
    511,639.50x = 201,435,282,348.30
  5. Step 5: Solve for x
    x = 201,435,282,348.30/511,639.50
  6. Step 6: Final answer
    x = 393,705.49

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1.5x scale

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.