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Finding the Fourth Proportional to 294,045.92, 405,822.12 and 286,039.88

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Solution

The fourth proportional to 294,045.92, 405,822.12 and 286,039.88 is: 394,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,045.92 : 405,822.12 = 286,039.88 : x
  2. Step 2: Convert to fraction form
    294,045.92/405,822.12 = 286,039.88/x
  3. Step 3: Cross multiply
    294,045.92x = 405,822.12 × 286,039.88
  4. Step 4: Simplify right side
    294,045.92x = 116,081,310,506.15
  5. Step 5: Solve for x
    x = 116,081,310,506.15/294,045.92
  6. Step 6: Final answer
    x = 394,772.73

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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.