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Finding the Fourth Proportional to 407,489.36, 562,269.64 and 235,380

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Solution

The fourth proportional to 407,489.36, 562,269.64 and 235,380 is: 324,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,489.36 : 562,269.64 = 235,380 : x
  2. Step 2: Convert to fraction form
    407,489.36/562,269.64 = 235,380/x
  3. Step 3: Cross multiply
    407,489.36x = 562,269.64 × 235,380
  4. Step 4: Simplify right side
    407,489.36x = 132,347,027,863.20
  5. Step 5: Solve for x
    x = 132,347,027,863.20/407,489.36
  6. Step 6: Final answer
    x = 324,786.46

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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.