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Finding the Fourth Proportional to 428,462.43, 642,695.93 and 128,940.96

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Solution

The fourth proportional to 428,462.43, 642,695.93 and 128,940.96 is: 193,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,462.43 : 642,695.93 = 128,940.96 : x
  2. Step 2: Convert to fraction form
    428,462.43/642,695.93 = 128,940.96/x
  3. Step 3: Cross multiply
    428,462.43x = 642,695.93 × 128,940.96
  4. Step 4: Simplify right side
    428,462.43x = 82,869,830,202.29
  5. Step 5: Solve for x
    x = 82,869,830,202.29/428,462.43
  6. Step 6: Final answer
    x = 193,412.13

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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.