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Finding the Fourth Proportional to 356,705.89, 492,235.38 and 203,713.87

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Solution

The fourth proportional to 356,705.89, 492,235.38 and 203,713.87 is: 281,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,705.89 : 492,235.38 = 203,713.87 : x
  2. Step 2: Convert to fraction form
    356,705.89/492,235.38 = 203,713.87/x
  3. Step 3: Cross multiply
    356,705.89x = 492,235.38 × 203,713.87
  4. Step 4: Simplify right side
    356,705.89x = 100,275,174,210.72
  5. Step 5: Solve for x
    x = 100,275,174,210.72/356,705.89
  6. Step 6: Final answer
    x = 281,114.43

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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.