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Finding the Fourth Proportional to 477,492.30, 658,951.83 and 262,638

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Solution

The fourth proportional to 477,492.30, 658,951.83 and 262,638 is: 362,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,492.30 : 658,951.83 = 262,638 : x
  2. Step 2: Convert to fraction form
    477,492.30/658,951.83 = 262,638/x
  3. Step 3: Cross multiply
    477,492.30x = 658,951.83 × 262,638
  4. Step 4: Simplify right side
    477,492.30x = 173,065,790,727.54
  5. Step 5: Solve for x
    x = 173,065,790,727.54/477,492.30
  6. Step 6: Final answer
    x = 362,447.29

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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.