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Finding the Fourth Proportional to 428,673.72, 641,749.29 and 286,165.56

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Solution

The fourth proportional to 428,673.72, 641,749.29 and 286,165.56 is: 428,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,673.72 : 641,749.29 = 286,165.56 : x
  2. Step 2: Convert to fraction form
    428,673.72/641,749.29 = 286,165.56/x
  3. Step 3: Cross multiply
    428,673.72x = 641,749.29 × 286,165.56
  4. Step 4: Simplify right side
    428,673.72x = 183,646,544,952.45
  5. Step 5: Solve for x
    x = 183,646,544,952.45/428,673.72
  6. Step 6: Final answer
    x = 428,406.35

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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.