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Finding the Fourth Proportional to 428,563.05, 642,951.60 and 302,449.60

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Solution

The fourth proportional to 428,563.05, 642,951.60 and 302,449.60 is: 453,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,563.05 : 642,951.60 = 302,449.60 : x
  2. Step 2: Convert to fraction form
    428,563.05/642,951.60 = 302,449.60/x
  3. Step 3: Cross multiply
    428,563.05x = 642,951.60 × 302,449.60
  4. Step 4: Simplify right side
    428,563.05x = 194,460,456,567.80
  5. Step 5: Solve for x
    x = 194,460,456,567.80/428,563.05
  6. Step 6: Final answer
    x = 453,749.93

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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.