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Finding the Fourth Proportional to 356,762.49, 492,313.32 and 203,770.64

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Solution

The fourth proportional to 356,762.49, 492,313.32 and 203,770.64 is: 281,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,762.49 : 492,313.32 = 203,770.64 : x
  2. Step 2: Convert to fraction form
    356,762.49/492,313.32 = 203,770.64/x
  3. Step 3: Cross multiply
    356,762.49x = 492,313.32 × 203,770.64
  4. Step 4: Simplify right side
    356,762.49x = 100,318,997,835.36
  5. Step 5: Solve for x
    x = 100,318,997,835.36/356,762.49
  6. Step 6: Final answer
    x = 281,192.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.