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Finding the Fourth Proportional to 422,950.32, 634,591.64 and 186,126.93

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Solution

The fourth proportional to 422,950.32, 634,591.64 and 186,126.93 is: 279,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,950.32 : 634,591.64 = 186,126.93 : x
  2. Step 2: Convert to fraction form
    422,950.32/634,591.64 = 186,126.93/x
  3. Step 3: Cross multiply
    422,950.32x = 634,591.64 × 186,126.93
  4. Step 4: Simplify right side
    422,950.32x = 118,114,592,826.23
  5. Step 5: Solve for x
    x = 118,114,592,826.23/422,950.32
  6. Step 6: Final answer
    x = 279,263.51

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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.