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Finding the Fourth Proportional to 283,361.50, 391,009.13 and 160,814.85

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Solution

The fourth proportional to 283,361.50, 391,009.13 and 160,814.85 is: 221,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,361.50 : 391,009.13 = 160,814.85 : x
  2. Step 2: Convert to fraction form
    283,361.50/391,009.13 = 160,814.85/x
  3. Step 3: Cross multiply
    283,361.50x = 391,009.13 × 160,814.85
  4. Step 4: Simplify right side
    283,361.50x = 62,880,074,589.58
  5. Step 5: Solve for x
    x = 62,880,074,589.58/283,361.50
  6. Step 6: Final answer
    x = 221,907.62

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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.