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Finding the Fourth Proportional to 253,157.69, 379,404.38 and 186,284.70

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Solution

The fourth proportional to 253,157.69, 379,404.38 and 186,284.70 is: 279,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,157.69 : 379,404.38 = 186,284.70 : x
  2. Step 2: Convert to fraction form
    253,157.69/379,404.38 = 186,284.70/x
  3. Step 3: Cross multiply
    253,157.69x = 379,404.38 × 186,284.70
  4. Step 4: Simplify right side
    253,157.69x = 70,677,230,175.56
  5. Step 5: Solve for x
    x = 70,677,230,175.56/253,157.69
  6. Step 6: Final answer
    x = 279,182.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.