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Finding the Fourth Proportional to 458,325.75, 687,507.27 and 218,316.27

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Solution

The fourth proportional to 458,325.75, 687,507.27 and 218,316.27 is: 327,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,325.75 : 687,507.27 = 218,316.27 : x
  2. Step 2: Convert to fraction form
    458,325.75/687,507.27 = 218,316.27/x
  3. Step 3: Cross multiply
    458,325.75x = 687,507.27 × 218,316.27
  4. Step 4: Simplify right side
    458,325.75x = 150,094,022,784.28
  5. Step 5: Solve for x
    x = 150,094,022,784.28/458,325.75
  6. Step 6: Final answer
    x = 327,483.29

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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.