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Finding the Fourth Proportional to 286,005.50, 428,840.02 and 108,524.98

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Solution

The fourth proportional to 286,005.50, 428,840.02 and 108,524.98 is: 162,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,005.50 : 428,840.02 = 108,524.98 : x
  2. Step 2: Convert to fraction form
    286,005.50/428,840.02 = 108,524.98/x
  3. Step 3: Cross multiply
    286,005.50x = 428,840.02 × 108,524.98
  4. Step 4: Simplify right side
    286,005.50x = 46,539,853,250.29
  5. Step 5: Solve for x
    x = 46,539,853,250.29/286,005.50
  6. Step 6: Final answer
    x = 162,723.63

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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.