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Finding the Fourth Proportional to 282,425.42, 423,709.90 and 80,021.30

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Solution

The fourth proportional to 282,425.42, 423,709.90 and 80,021.30 is: 120,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,425.42 : 423,709.90 = 80,021.30 : x
  2. Step 2: Convert to fraction form
    282,425.42/423,709.90 = 80,021.30/x
  3. Step 3: Cross multiply
    282,425.42x = 423,709.90 × 80,021.30
  4. Step 4: Simplify right side
    282,425.42x = 33,905,814,702.27
  5. Step 5: Solve for x
    x = 33,905,814,702.27/282,425.42
  6. Step 6: Final answer
    x = 120,052.28

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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.