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Finding the Fourth Proportional to 356,857, 492,462.66 and 197,881

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Solution

The fourth proportional to 356,857, 492,462.66 and 197,881 is: 273,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,857 : 492,462.66 = 197,881 : x
  2. Step 2: Convert to fraction form
    356,857/492,462.66 = 197,881/x
  3. Step 3: Cross multiply
    356,857x = 492,462.66 × 197,881
  4. Step 4: Simplify right side
    356,857x = 97,449,003,623.46
  5. Step 5: Solve for x
    x = 97,449,003,623.46/356,857
  6. Step 6: Final answer
    x = 273,075.78

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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.