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Finding the Fourth Proportional to 379,551.38, 523,779.90 and 216,207.86

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Solution

The fourth proportional to 379,551.38, 523,779.90 and 216,207.86 is: 298,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,551.38 : 523,779.90 = 216,207.86 : x
  2. Step 2: Convert to fraction form
    379,551.38/523,779.90 = 216,207.86/x
  3. Step 3: Cross multiply
    379,551.38x = 523,779.90 × 216,207.86
  4. Step 4: Simplify right side
    379,551.38x = 113,245,331,290.01
  5. Step 5: Solve for x
    x = 113,245,331,290.01/379,551.38
  6. Step 6: Final answer
    x = 298,366.27

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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.