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Finding the Fourth Proportional to 277,025, 415,506.34 and 74,636.05

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Solution

The fourth proportional to 277,025, 415,506.34 and 74,636.05 is: 111,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,025 : 415,506.34 = 74,636.05 : x
  2. Step 2: Convert to fraction form
    277,025/415,506.34 = 74,636.05/x
  3. Step 3: Cross multiply
    277,025x = 415,506.34 × 74,636.05
  4. Step 4: Simplify right side
    277,025x = 31,011,751,967.56
  5. Step 5: Solve for x
    x = 31,011,751,967.56/277,025
  6. Step 6: Final answer
    x = 111,945.68

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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.