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Finding the Fourth Proportional to 422,592.05, 634,093.11 and 185,903.98

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Solution

The fourth proportional to 422,592.05, 634,093.11 and 185,903.98 is: 278,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,592.05 : 634,093.11 = 185,903.98 : x
  2. Step 2: Convert to fraction form
    422,592.05/634,093.11 = 185,903.98/x
  3. Step 3: Cross multiply
    422,592.05x = 634,093.11 × 185,903.98
  4. Step 4: Simplify right side
    422,592.05x = 117,880,431,254.35
  5. Step 5: Solve for x
    x = 117,880,431,254.35/422,592.05
  6. Step 6: Final answer
    x = 278,946.16

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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.