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Finding the Fourth Proportional to 458,013.96, 686,429.64 and 205,109.28

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Solution

The fourth proportional to 458,013.96, 686,429.64 and 205,109.28 is: 307,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,013.96 : 686,429.64 = 205,109.28 : x
  2. Step 2: Convert to fraction form
    458,013.96/686,429.64 = 205,109.28/x
  3. Step 3: Cross multiply
    458,013.96x = 686,429.64 × 205,109.28
  4. Step 4: Simplify right side
    458,013.96x = 140,793,089,231.06
  5. Step 5: Solve for x
    x = 140,793,089,231.06/458,013.96
  6. Step 6: Final answer
    x = 307,399.12

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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.