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Finding the Fourth Proportional to 428,415.60, 642,623.40 and 328,882.80

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Solution

The fourth proportional to 428,415.60, 642,623.40 and 328,882.80 is: 493,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,415.60 : 642,623.40 = 328,882.80 : x
  2. Step 2: Convert to fraction form
    428,415.60/642,623.40 = 328,882.80/x
  3. Step 3: Cross multiply
    428,415.60x = 642,623.40 × 328,882.80
  4. Step 4: Simplify right side
    428,415.60x = 211,347,783,137.52
  5. Step 5: Solve for x
    x = 211,347,783,137.52/428,415.60
  6. Step 6: Final answer
    x = 493,324.20

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1.5x scale

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.