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Finding the Fourth Proportional to 415,105.80, 622,658.70 and 374,427.60

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Solution

The fourth proportional to 415,105.80, 622,658.70 and 374,427.60 is: 561,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,105.80 : 622,658.70 = 374,427.60 : x
  2. Step 2: Convert to fraction form
    415,105.80/622,658.70 = 374,427.60/x
  3. Step 3: Cross multiply
    415,105.80x = 622,658.70 × 374,427.60
  4. Step 4: Simplify right side
    415,105.80x = 233,140,602,660.12
  5. Step 5: Solve for x
    x = 233,140,602,660.12/415,105.80
  6. Step 6: Final answer
    x = 561,641.40

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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.