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Finding the Fourth Proportional to 428,002, 641,762.88 and 293,218.32

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Solution

The fourth proportional to 428,002, 641,762.88 and 293,218.32 is: 439,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,002 : 641,762.88 = 293,218.32 : x
  2. Step 2: Convert to fraction form
    428,002/641,762.88 = 293,218.32/x
  3. Step 3: Cross multiply
    428,002x = 641,762.88 × 293,218.32
  4. Step 4: Simplify right side
    428,002x = 188,176,633,511.96
  5. Step 5: Solve for x
    x = 188,176,633,511.96/428,002
  6. Step 6: Final answer
    x = 439,662.98

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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.