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Finding the Fourth Proportional to 356,865, 492,473.70 and 197,889

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Solution

The fourth proportional to 356,865, 492,473.70 and 197,889 is: 273,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,865 : 492,473.70 = 197,889 : x
  2. Step 2: Convert to fraction form
    356,865/492,473.70 = 197,889/x
  3. Step 3: Cross multiply
    356,865x = 492,473.70 × 197,889
  4. Step 4: Simplify right side
    356,865x = 97,455,128,019.30
  5. Step 5: Solve for x
    x = 97,455,128,019.30/356,865
  6. Step 6: Final answer
    x = 273,086.82

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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.