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Finding the Fourth Proportional to 419,539.14, 578,958.81 and 228,548.46

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Solution

The fourth proportional to 419,539.14, 578,958.81 and 228,548.46 is: 315,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,539.14 : 578,958.81 = 228,548.46 : x
  2. Step 2: Convert to fraction form
    419,539.14/578,958.81 = 228,548.46/x
  3. Step 3: Cross multiply
    419,539.14x = 578,958.81 × 228,548.46
  4. Step 4: Simplify right side
    419,539.14x = 132,320,144,428.93
  5. Step 5: Solve for x
    x = 132,320,144,428.93/419,539.14
  6. Step 6: Final answer
    x = 315,394.04

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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.