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Finding the Fourth Proportional to 470,301.48, 648,660.42 and 326,989.80

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Solution

The fourth proportional to 470,301.48, 648,660.42 and 326,989.80 is: 450,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,301.48 : 648,660.42 = 326,989.80 : x
  2. Step 2: Convert to fraction form
    470,301.48/648,660.42 = 326,989.80/x
  3. Step 3: Cross multiply
    470,301.48x = 648,660.42 × 326,989.80
  4. Step 4: Simplify right side
    470,301.48x = 212,105,341,003.72
  5. Step 5: Solve for x
    x = 212,105,341,003.72/470,301.48
  6. Step 6: Final answer
    x = 450,998.67

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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.