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Finding the Fourth Proportional to 422,669.84, 583,295.52 and 238,893.80

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Solution

The fourth proportional to 422,669.84, 583,295.52 and 238,893.80 is: 329,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,669.84 : 583,295.52 = 238,893.80 : x
  2. Step 2: Convert to fraction form
    422,669.84/583,295.52 = 238,893.80/x
  3. Step 3: Cross multiply
    422,669.84x = 583,295.52 × 238,893.80
  4. Step 4: Simplify right side
    422,669.84x = 139,345,683,295.78
  5. Step 5: Solve for x
    x = 139,345,683,295.78/422,669.84
  6. Step 6: Final answer
    x = 329,679.74

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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.