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Finding the Fourth Proportional to 617,641.09, 926,536.38 and 218,200.12

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Solution

The fourth proportional to 617,641.09, 926,536.38 and 218,200.12 is: 327,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,641.09 : 926,536.38 = 218,200.12 : x
  2. Step 2: Convert to fraction form
    617,641.09/926,536.38 = 218,200.12/x
  3. Step 3: Cross multiply
    617,641.09x = 926,536.38 × 218,200.12
  4. Step 4: Simplify right side
    617,641.09x = 202,170,349,845.87
  5. Step 5: Solve for x
    x = 202,170,349,845.87/617,641.09
  6. Step 6: Final answer
    x = 327,326.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.