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Finding the Fourth Proportional to 470,201.85, 648,872.84 and 255,343.46

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Solution

The fourth proportional to 470,201.85, 648,872.84 and 255,343.46 is: 352,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,201.85 : 648,872.84 = 255,343.46 : x
  2. Step 2: Convert to fraction form
    470,201.85/648,872.84 = 255,343.46/x
  3. Step 3: Cross multiply
    470,201.85x = 648,872.84 × 255,343.46
  4. Step 4: Simplify right side
    470,201.85x = 165,685,431,544.55
  5. Step 5: Solve for x
    x = 165,685,431,544.55/470,201.85
  6. Step 6: Final answer
    x = 352,370.86

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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.