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Finding the Fourth Proportional to 458,194.72, 687,015.90 and 205,429.52

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Solution

The fourth proportional to 458,194.72, 687,015.90 and 205,429.52 is: 308,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,194.72 : 687,015.90 = 205,429.52 : x
  2. Step 2: Convert to fraction form
    458,194.72/687,015.90 = 205,429.52/x
  3. Step 3: Cross multiply
    458,194.72x = 687,015.90 × 205,429.52
  4. Step 4: Simplify right side
    458,194.72x = 141,133,346,569.37
  5. Step 5: Solve for x
    x = 141,133,346,569.37/458,194.72
  6. Step 6: Final answer
    x = 308,020.46

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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.