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Finding the Fourth Proportional to 265,748.80, 398,623.20 and 218,509.60

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Solution

The fourth proportional to 265,748.80, 398,623.20 and 218,509.60 is: 327,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,748.80 : 398,623.20 = 218,509.60 : x
  2. Step 2: Convert to fraction form
    265,748.80/398,623.20 = 218,509.60/x
  3. Step 3: Cross multiply
    265,748.80x = 398,623.20 × 218,509.60
  4. Step 4: Simplify right side
    265,748.80x = 87,102,995,982.72
  5. Step 5: Solve for x
    x = 87,102,995,982.72/265,748.80
  6. Step 6: Final answer
    x = 327,764.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.