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Finding the Fourth Proportional to 428,420.88, 641,843.10 and 268,467.01

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Solution

The fourth proportional to 428,420.88, 641,843.10 and 268,467.01 is: 402,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,420.88 : 641,843.10 = 268,467.01 : x
  2. Step 2: Convert to fraction form
    428,420.88/641,843.10 = 268,467.01/x
  3. Step 3: Cross multiply
    428,420.88x = 641,843.10 × 268,467.01
  4. Step 4: Simplify right side
    428,420.88x = 172,313,696,341.52
  5. Step 5: Solve for x
    x = 172,313,696,341.52/428,420.88
  6. Step 6: Final answer
    x = 402,206.58

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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.