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Finding the Fourth Proportional to 415,137.16, 572,690.42 and 399,042.44

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Solution

The fourth proportional to 415,137.16, 572,690.42 and 399,042.44 is: 550,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,137.16 : 572,690.42 = 399,042.44 : x
  2. Step 2: Convert to fraction form
    415,137.16/572,690.42 = 399,042.44/x
  3. Step 3: Cross multiply
    415,137.16x = 572,690.42 × 399,042.44
  4. Step 4: Simplify right side
    415,137.16x = 228,527,782,561.43
  5. Step 5: Solve for x
    x = 228,527,782,561.43/415,137.16
  6. Step 6: Final answer
    x = 550,487.42

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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.