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Finding the Fourth Proportional to 394,848, 544,903.20 and 216,000

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Solution

The fourth proportional to 394,848, 544,903.20 and 216,000 is: 298,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,848 : 544,903.20 = 216,000 : x
  2. Step 2: Convert to fraction form
    394,848/544,903.20 = 216,000/x
  3. Step 3: Cross multiply
    394,848x = 544,903.20 × 216,000
  4. Step 4: Simplify right side
    394,848x = 117,699,091,200.00
  5. Step 5: Solve for x
    x = 117,699,091,200.00/394,848
  6. Step 6: Final answer
    x = 298,087.09

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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.