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Finding the Fourth Proportional to 418,338, 629,783.24 and 381,137.13

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Solution

The fourth proportional to 418,338, 629,783.24 and 381,137.13 is: 573,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,338 : 629,783.24 = 381,137.13 : x
  2. Step 2: Convert to fraction form
    418,338/629,783.24 = 381,137.13/x
  3. Step 3: Cross multiply
    418,338x = 629,783.24 × 381,137.13
  4. Step 4: Simplify right side
    418,338x = 240,033,774,710.02
  5. Step 5: Solve for x
    x = 240,033,774,710.02/418,338
  6. Step 6: Final answer
    x = 573,779.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.