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Finding the Fourth Proportional to 252,709.49, 379,038.20 and 84,211.60

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Solution

The fourth proportional to 252,709.49, 379,038.20 and 84,211.60 is: 126,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,709.49 : 379,038.20 = 84,211.60 : x
  2. Step 2: Convert to fraction form
    252,709.49/379,038.20 = 84,211.60/x
  3. Step 3: Cross multiply
    252,709.49x = 379,038.20 × 84,211.60
  4. Step 4: Simplify right side
    252,709.49x = 31,919,411,387.93
  5. Step 5: Solve for x
    x = 31,919,411,387.93/252,709.49
  6. Step 6: Final answer
    x = 126,308.72

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