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Finding the Fourth Proportional to 384,764.44, 531,123.12 and 344,407

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Solution

The fourth proportional to 384,764.44, 531,123.12 and 344,407 is: 475,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,764.44 : 531,123.12 = 344,407 : x
  2. Step 2: Convert to fraction form
    384,764.44/531,123.12 = 344,407/x
  3. Step 3: Cross multiply
    384,764.44x = 531,123.12 × 344,407
  4. Step 4: Simplify right side
    384,764.44x = 182,922,520,389.84
  5. Step 5: Solve for x
    x = 182,922,520,389.84/384,764.44
  6. Step 6: Final answer
    x = 475,414.31

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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.