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Finding the Fourth Proportional to 428,231.46, 642,297.14 and 172,053.64

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Solution

The fourth proportional to 428,231.46, 642,297.14 and 172,053.64 is: 258,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,231.46 : 642,297.14 = 172,053.64 : x
  2. Step 2: Convert to fraction form
    428,231.46/642,297.14 = 172,053.64/x
  3. Step 3: Cross multiply
    428,231.46x = 642,297.14 × 172,053.64
  4. Step 4: Simplify right side
    428,231.46x = 110,509,564,260.66
  5. Step 5: Solve for x
    x = 110,509,564,260.66/428,231.46
  6. Step 6: Final answer
    x = 258,060.36

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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.