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Finding the Fourth Proportional to 384,763.44, 531,121.74 and 344,406

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Solution

The fourth proportional to 384,763.44, 531,121.74 and 344,406 is: 475,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,763.44 : 531,121.74 = 344,406 : x
  2. Step 2: Convert to fraction form
    384,763.44/531,121.74 = 344,406/x
  3. Step 3: Cross multiply
    384,763.44x = 531,121.74 × 344,406
  4. Step 4: Simplify right side
    384,763.44x = 182,921,513,986.44
  5. Step 5: Solve for x
    x = 182,921,513,986.44/384,763.44
  6. Step 6: Final answer
    x = 475,412.93

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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.