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Finding the Fourth Proportional to 295,644.62, 407,868.76 and 218,305.58

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Solution

The fourth proportional to 295,644.62, 407,868.76 and 218,305.58 is: 301,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,644.62 : 407,868.76 = 218,305.58 : x
  2. Step 2: Convert to fraction form
    295,644.62/407,868.76 = 218,305.58/x
  3. Step 3: Cross multiply
    295,644.62x = 407,868.76 × 218,305.58
  4. Step 4: Simplify right side
    295,644.62x = 89,040,026,215.68
  5. Step 5: Solve for x
    x = 89,040,026,215.68/295,644.62
  6. Step 6: Final answer
    x = 301,172.49

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1.5x scale

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.