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Finding the Fourth Proportional to 419,282.22, 578,610.84 and 228,296.76

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Solution

The fourth proportional to 419,282.22, 578,610.84 and 228,296.76 is: 315,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,282.22 : 578,610.84 = 228,296.76 : x
  2. Step 2: Convert to fraction form
    419,282.22/578,610.84 = 228,296.76/x
  3. Step 3: Cross multiply
    419,282.22x = 578,610.84 × 228,296.76
  4. Step 4: Simplify right side
    419,282.22x = 132,094,980,072.88
  5. Step 5: Solve for x
    x = 132,094,980,072.88/419,282.22
  6. Step 6: Final answer
    x = 315,050.28

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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.