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Finding the Fourth Proportional to 428,384.32, 641,875.48 and 259,392.80

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Solution

The fourth proportional to 428,384.32, 641,875.48 and 259,392.80 is: 388,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,384.32 : 641,875.48 = 259,392.80 : x
  2. Step 2: Convert to fraction form
    428,384.32/641,875.48 = 259,392.80/x
  3. Step 3: Cross multiply
    428,384.32x = 641,875.48 × 259,392.80
  4. Step 4: Simplify right side
    428,384.32x = 166,497,878,008.54
  5. Step 5: Solve for x
    x = 166,497,878,008.54/428,384.32
  6. Step 6: Final answer
    x = 388,664.73

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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.