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Finding the Fourth Proportional to 457,676.34, 686,560.64 and 120,740.28

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Solution

The fourth proportional to 457,676.34, 686,560.64 and 120,740.28 is: 181,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,676.34 : 686,560.64 = 120,740.28 : x
  2. Step 2: Convert to fraction form
    457,676.34/686,560.64 = 120,740.28/x
  3. Step 3: Cross multiply
    457,676.34x = 686,560.64 × 120,740.28
  4. Step 4: Simplify right side
    457,676.34x = 82,895,523,910.58
  5. Step 5: Solve for x
    x = 82,895,523,910.58/457,676.34
  6. Step 6: Final answer
    x = 181,122.59

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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.