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Finding the Fourth Proportional to 419,375.60, 578,745.28 and 228,392.72

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Solution

The fourth proportional to 419,375.60, 578,745.28 and 228,392.72 is: 315,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,375.60 : 578,745.28 = 228,392.72 : x
  2. Step 2: Convert to fraction form
    419,375.60/578,745.28 = 228,392.72/x
  3. Step 3: Cross multiply
    419,375.60x = 578,745.28 × 228,392.72
  4. Step 4: Simplify right side
    419,375.60x = 132,181,208,686.36
  5. Step 5: Solve for x
    x = 132,181,208,686.36/419,375.60
  6. Step 6: Final answer
    x = 315,185.74

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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.