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Finding the Fourth Proportional to 456,942, 629,453.24 and 388,740.54

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Solution

The fourth proportional to 456,942, 629,453.24 and 388,740.54 is: 535,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,942 : 629,453.24 = 388,740.54 : x
  2. Step 2: Convert to fraction form
    456,942/629,453.24 = 388,740.54/x
  3. Step 3: Cross multiply
    456,942x = 629,453.24 × 388,740.54
  4. Step 4: Simplify right side
    456,942x = 244,693,992,422.35
  5. Step 5: Solve for x
    x = 244,693,992,422.35/456,942
  6. Step 6: Final answer
    x = 535,503.40

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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.