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Finding the Fourth Proportional to 428,462.10, 642,783.03 and 128,964.60

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Solution

The fourth proportional to 428,462.10, 642,783.03 and 128,964.60 is: 193,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,462.10 : 642,783.03 = 128,964.60 : x
  2. Step 2: Convert to fraction form
    428,462.10/642,783.03 = 128,964.60/x
  3. Step 3: Cross multiply
    428,462.10x = 642,783.03 × 128,964.60
  4. Step 4: Simplify right side
    428,462.10x = 82,896,256,350.74
  5. Step 5: Solve for x
    x = 82,896,256,350.74/428,462.10
  6. Step 6: Final answer
    x = 193,473.95

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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.