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Finding the Fourth Proportional to 415,093.60, 622,640.40 and 377,695.90

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Solution

The fourth proportional to 415,093.60, 622,640.40 and 377,695.90 is: 566,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,093.60 : 622,640.40 = 377,695.90 : x
  2. Step 2: Convert to fraction form
    415,093.60/622,640.40 = 377,695.90/x
  3. Step 3: Cross multiply
    415,093.60x = 622,640.40 × 377,695.90
  4. Step 4: Simplify right side
    415,093.60x = 235,168,726,254.36
  5. Step 5: Solve for x
    x = 235,168,726,254.36/415,093.60
  6. Step 6: Final answer
    x = 566,543.85

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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.