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Finding the Fourth Proportional to 428,489.92, 642,533.44 and 158,431.47

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Solution

The fourth proportional to 428,489.92, 642,533.44 and 158,431.47 is: 237,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,489.92 : 642,533.44 = 158,431.47 : x
  2. Step 2: Convert to fraction form
    428,489.92/642,533.44 = 158,431.47/x
  3. Step 3: Cross multiply
    428,489.92x = 642,533.44 × 158,431.47
  4. Step 4: Simplify right side
    428,489.92x = 101,797,517,423.36
  5. Step 5: Solve for x
    x = 101,797,517,423.36/428,489.92
  6. Step 6: Final answer
    x = 237,572.72

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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.