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Finding the Fourth Proportional to 286,391.74, 395,176.72 and 165,509.71

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Solution

The fourth proportional to 286,391.74, 395,176.72 and 165,509.71 is: 228,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,391.74 : 395,176.72 = 165,509.71 : x
  2. Step 2: Convert to fraction form
    286,391.74/395,176.72 = 165,509.71/x
  3. Step 3: Cross multiply
    286,391.74x = 395,176.72 × 165,509.71
  4. Step 4: Simplify right side
    286,391.74x = 65,405,584,325.95
  5. Step 5: Solve for x
    x = 65,405,584,325.95/286,391.74
  6. Step 6: Final answer
    x = 228,378.04

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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.