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Finding the Fourth Proportional to 294,228.15, 404,760.65 and 257,765.37

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Solution

The fourth proportional to 294,228.15, 404,760.65 and 257,765.37 is: 354,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,228.15 : 404,760.65 = 257,765.37 : x
  2. Step 2: Convert to fraction form
    294,228.15/404,760.65 = 257,765.37/x
  3. Step 3: Cross multiply
    294,228.15x = 404,760.65 × 257,765.37
  4. Step 4: Simplify right side
    294,228.15x = 104,333,277,419.86
  5. Step 5: Solve for x
    x = 104,333,277,419.86/294,228.15
  6. Step 6: Final answer
    x = 354,599.92

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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.