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Finding the Fourth Proportional to 470,676.21, 649,537.53 and 255,816.81

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Solution

The fourth proportional to 470,676.21, 649,537.53 and 255,816.81 is: 353,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676.21 : 649,537.53 = 255,816.81 : x
  2. Step 2: Convert to fraction form
    470,676.21/649,537.53 = 255,816.81/x
  3. Step 3: Cross multiply
    470,676.21x = 649,537.53 × 255,816.81
  4. Step 4: Simplify right side
    470,676.21x = 166,162,618,899.88
  5. Step 5: Solve for x
    x = 166,162,618,899.88/470,676.21
  6. Step 6: Final answer
    x = 353,029.57

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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.