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Finding the Fourth Proportional to 283,706.81, 391,503.61 and 154,642.44

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Solution

The fourth proportional to 283,706.81, 391,503.61 and 154,642.44 is: 213,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,706.81 : 391,503.61 = 154,642.44 : x
  2. Step 2: Convert to fraction form
    283,706.81/391,503.61 = 154,642.44/x
  3. Step 3: Cross multiply
    283,706.81x = 391,503.61 × 154,642.44
  4. Step 4: Simplify right side
    283,706.81x = 60,543,074,310.79
  5. Step 5: Solve for x
    x = 60,543,074,310.79/283,706.81
  6. Step 6: Final answer
    x = 213,400.15

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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.