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Finding the Fourth Proportional to 428,346.26, 642,520.92 and 108,497.98

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Solution

The fourth proportional to 428,346.26, 642,520.92 and 108,497.98 is: 162,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,346.26 : 642,520.92 = 108,497.98 : x
  2. Step 2: Convert to fraction form
    428,346.26/642,520.92 = 108,497.98/x
  3. Step 3: Cross multiply
    428,346.26x = 642,520.92 × 108,497.98
  4. Step 4: Simplify right side
    428,346.26x = 69,712,223,137.76
  5. Step 5: Solve for x
    x = 69,712,223,137.76/428,346.26
  6. Step 6: Final answer
    x = 162,747.36

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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.