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Finding the Fourth Proportional to 356,763.49, 492,314.70 and 203,771.64

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Solution

The fourth proportional to 356,763.49, 492,314.70 and 203,771.64 is: 281,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,763.49 : 492,314.70 = 203,771.64 : x
  2. Step 2: Convert to fraction form
    356,763.49/492,314.70 = 203,771.64/x
  3. Step 3: Cross multiply
    356,763.49x = 492,314.70 × 203,771.64
  4. Step 4: Simplify right side
    356,763.49x = 100,319,773,815.11
  5. Step 5: Solve for x
    x = 100,319,773,815.11/356,763.49
  6. Step 6: Final answer
    x = 281,194.06

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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.