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Finding the Fourth Proportional to 288,390.85, 397,967.33 and 165,873.92

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Solution

The fourth proportional to 288,390.85, 397,967.33 and 165,873.92 is: 228,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,390.85 : 397,967.33 = 165,873.92 : x
  2. Step 2: Convert to fraction form
    288,390.85/397,967.33 = 165,873.92/x
  3. Step 3: Cross multiply
    288,390.85x = 397,967.33 × 165,873.92
  4. Step 4: Simplify right side
    288,390.85x = 66,012,399,483.88
  5. Step 5: Solve for x
    x = 66,012,399,483.88/288,390.85
  6. Step 6: Final answer
    x = 228,899.07

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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.