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Finding the Fourth Proportional to 451,097.30, 622,435.15 and 257,416.58

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Solution

The fourth proportional to 451,097.30, 622,435.15 and 257,416.58 is: 355,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,097.30 : 622,435.15 = 257,416.58 : x
  2. Step 2: Convert to fraction form
    451,097.30/622,435.15 = 257,416.58/x
  3. Step 3: Cross multiply
    451,097.30x = 622,435.15 × 257,416.58
  4. Step 4: Simplify right side
    451,097.30x = 160,225,126,297.70
  5. Step 5: Solve for x
    x = 160,225,126,297.70/451,097.30
  6. Step 6: Final answer
    x = 355,189.73

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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.