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Finding the Fourth Proportional to 422,658.60, 634,083.57 and 242,827.05

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Solution

The fourth proportional to 422,658.60, 634,083.57 and 242,827.05 is: 364,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,658.60 : 634,083.57 = 242,827.05 : x
  2. Step 2: Convert to fraction form
    422,658.60/634,083.57 = 242,827.05/x
  3. Step 3: Cross multiply
    422,658.60x = 634,083.57 × 242,827.05
  4. Step 4: Simplify right side
    422,658.60x = 153,972,642,756.57
  5. Step 5: Solve for x
    x = 153,972,642,756.57/422,658.60
  6. Step 6: Final answer
    x = 364,295.54

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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.