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Finding the Fourth Proportional to 419,817.87, 579,342.78 and 228,832.02

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Solution

The fourth proportional to 419,817.87, 579,342.78 and 228,832.02 is: 315,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,817.87 : 579,342.78 = 228,832.02 : x
  2. Step 2: Convert to fraction form
    419,817.87/579,342.78 = 228,832.02/x
  3. Step 3: Cross multiply
    419,817.87x = 579,342.78 × 228,832.02
  4. Step 4: Simplify right side
    419,817.87x = 132,572,178,619.82
  5. Step 5: Solve for x
    x = 132,572,178,619.82/419,817.87
  6. Step 6: Final answer
    x = 315,784.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.