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Finding the Fourth Proportional to 420,852.42, 580,806 and 239,564.43

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Solution

The fourth proportional to 420,852.42, 580,806 and 239,564.43 is: 330,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,852.42 : 580,806 = 239,564.43 : x
  2. Step 2: Convert to fraction form
    420,852.42/580,806 = 239,564.43/x
  3. Step 3: Cross multiply
    420,852.42x = 580,806 × 239,564.43
  4. Step 4: Simplify right side
    420,852.42x = 139,140,458,330.58
  5. Step 5: Solve for x
    x = 139,140,458,330.58/420,852.42
  6. Step 6: Final answer
    x = 330,615.80

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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.