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Finding the Fourth Proportional to 428,714.80, 642,634.80 and 251,130.40

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Solution

The fourth proportional to 428,714.80, 642,634.80 and 251,130.40 is: 376,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,714.80 : 642,634.80 = 251,130.40 : x
  2. Step 2: Convert to fraction form
    428,714.80/642,634.80 = 251,130.40/x
  3. Step 3: Cross multiply
    428,714.80x = 642,634.80 × 251,130.40
  4. Step 4: Simplify right side
    428,714.80x = 161,385,134,377.92
  5. Step 5: Solve for x
    x = 161,385,134,377.92/428,714.80
  6. Step 6: Final answer
    x = 376,439.38

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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.