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Finding the Fourth Proportional to 427,427.82, 641,200.05 and 178,051.50

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Solution

The fourth proportional to 427,427.82, 641,200.05 and 178,051.50 is: 267,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,427.82 : 641,200.05 = 178,051.50 : x
  2. Step 2: Convert to fraction form
    427,427.82/641,200.05 = 178,051.50/x
  3. Step 3: Cross multiply
    427,427.82x = 641,200.05 × 178,051.50
  4. Step 4: Simplify right side
    427,427.82x = 114,166,630,702.58
  5. Step 5: Solve for x
    x = 114,166,630,702.58/427,427.82
  6. Step 6: Final answer
    x = 267,101.54

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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.