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Finding the Fourth Proportional to 458,150.91, 686,950.26 and 205,385.66

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Solution

The fourth proportional to 458,150.91, 686,950.26 and 205,385.66 is: 307,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,150.91 : 686,950.26 = 205,385.66 : x
  2. Step 2: Convert to fraction form
    458,150.91/686,950.26 = 205,385.66/x
  3. Step 3: Cross multiply
    458,150.91x = 686,950.26 × 205,385.66
  4. Step 4: Simplify right side
    458,150.91x = 141,089,732,537.27
  5. Step 5: Solve for x
    x = 141,089,732,537.27/458,150.91
  6. Step 6: Final answer
    x = 307,954.71

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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.