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Finding the Fourth Proportional to 356,846, 492,447.48 and 197,870

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Solution

The fourth proportional to 356,846, 492,447.48 and 197,870 is: 273,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,846 : 492,447.48 = 197,870 : x
  2. Step 2: Convert to fraction form
    356,846/492,447.48 = 197,870/x
  3. Step 3: Cross multiply
    356,846x = 492,447.48 × 197,870
  4. Step 4: Simplify right side
    356,846x = 97,440,582,867.60
  5. Step 5: Solve for x
    x = 97,440,582,867.60/356,846
  6. Step 6: Final answer
    x = 273,060.60

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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.