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Finding the Fourth Proportional to 356,847, 492,448.86 and 197,871

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Solution

The fourth proportional to 356,847, 492,448.86 and 197,871 is: 273,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,847 : 492,448.86 = 197,871 : x
  2. Step 2: Convert to fraction form
    356,847/492,448.86 = 197,871/x
  3. Step 3: Cross multiply
    356,847x = 492,448.86 × 197,871
  4. Step 4: Simplify right side
    356,847x = 97,441,348,377.06
  5. Step 5: Solve for x
    x = 97,441,348,377.06/356,847
  6. Step 6: Final answer
    x = 273,061.98

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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.