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Finding the Fourth Proportional to 428,562.36, 642,963.92 and 158,686.44

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Solution

The fourth proportional to 428,562.36, 642,963.92 and 158,686.44 is: 238,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,562.36 : 642,963.92 = 158,686.44 : x
  2. Step 2: Convert to fraction form
    428,562.36/642,963.92 = 158,686.44/x
  3. Step 3: Cross multiply
    428,562.36x = 642,963.92 × 158,686.44
  4. Step 4: Simplify right side
    428,562.36x = 102,029,655,513.25
  5. Step 5: Solve for x
    x = 102,029,655,513.25/428,562.36
  6. Step 6: Final answer
    x = 238,074.23

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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.