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Finding the Fourth Proportional to 288,391.85, 397,968.71 and 165,874.92

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Solution

The fourth proportional to 288,391.85, 397,968.71 and 165,874.92 is: 228,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,391.85 : 397,968.71 = 165,874.92 : x
  2. Step 2: Convert to fraction form
    288,391.85/397,968.71 = 165,874.92/x
  3. Step 3: Cross multiply
    288,391.85x = 397,968.71 × 165,874.92
  4. Step 4: Simplify right side
    288,391.85x = 66,013,027,933.75
  5. Step 5: Solve for x
    x = 66,013,027,933.75/288,391.85
  6. Step 6: Final answer
    x = 228,900.46

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1.5x scale

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.