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Finding the Fourth Proportional to 428,676.16, 643,026.24 and 162,386.56

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Solution

The fourth proportional to 428,676.16, 643,026.24 and 162,386.56 is: 243,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,676.16 : 643,026.24 = 162,386.56 : x
  2. Step 2: Convert to fraction form
    428,676.16/643,026.24 = 162,386.56/x
  3. Step 3: Cross multiply
    428,676.16x = 643,026.24 × 162,386.56
  4. Step 4: Simplify right side
    428,676.16x = 104,418,819,103.33
  5. Step 5: Solve for x
    x = 104,418,819,103.33/428,676.16
  6. Step 6: Final answer
    x = 243,584.39

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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.