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Finding the Fourth Proportional to 286,054.20, 428,951.70 and 108,502.20

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Solution

The fourth proportional to 286,054.20, 428,951.70 and 108,502.20 is: 162,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,054.20 : 428,951.70 = 108,502.20 : x
  2. Step 2: Convert to fraction form
    286,054.20/428,951.70 = 108,502.20/x
  3. Step 3: Cross multiply
    286,054.20x = 428,951.70 × 108,502.20
  4. Step 4: Simplify right side
    286,054.20x = 46,542,203,143.74
  5. Step 5: Solve for x
    x = 46,542,203,143.74/286,054.20
  6. Step 6: Final answer
    x = 162,704.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.