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Finding the Fourth Proportional to 419,672.48, 579,147.59 and 228,685.82

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Solution

The fourth proportional to 419,672.48, 579,147.59 and 228,685.82 is: 315,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,672.48 : 579,147.59 = 228,685.82 : x
  2. Step 2: Convert to fraction form
    419,672.48/579,147.59 = 228,685.82/x
  3. Step 3: Cross multiply
    419,672.48x = 579,147.59 × 228,685.82
  4. Step 4: Simplify right side
    419,672.48x = 132,442,843,539.76
  5. Step 5: Solve for x
    x = 132,442,843,539.76/419,672.48
  6. Step 6: Final answer
    x = 315,586.20

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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.