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Finding the Fourth Proportional to 298,710.84, 411,944.04 and 218,010.54

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Solution

The fourth proportional to 298,710.84, 411,944.04 and 218,010.54 is: 300,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,710.84 : 411,944.04 = 218,010.54 : x
  2. Step 2: Convert to fraction form
    298,710.84/411,944.04 = 218,010.54/x
  3. Step 3: Cross multiply
    298,710.84x = 411,944.04 × 218,010.54
  4. Step 4: Simplify right side
    298,710.84x = 89,808,142,610.18
  5. Step 5: Solve for x
    x = 89,808,142,610.18/298,710.84
  6. Step 6: Final answer
    x = 300,652.44

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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.