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Finding the Fourth Proportional to 301,205.40, 415,661.76 and 165,235.86

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Solution

The fourth proportional to 301,205.40, 415,661.76 and 165,235.86 is: 228,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,205.40 : 415,661.76 = 165,235.86 : x
  2. Step 2: Convert to fraction form
    301,205.40/415,661.76 = 165,235.86/x
  3. Step 3: Cross multiply
    301,205.40x = 415,661.76 × 165,235.86
  4. Step 4: Simplify right side
    301,205.40x = 68,682,228,382.71
  5. Step 5: Solve for x
    x = 68,682,228,382.71/301,205.40
  6. Step 6: Final answer
    x = 228,024.56

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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.