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Finding the Fourth Proportional to 206,434.55, 309,652.29 and 56,676.89

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Solution

The fourth proportional to 206,434.55, 309,652.29 and 56,676.89 is: 85,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,434.55 : 309,652.29 = 56,676.89 : x
  2. Step 2: Convert to fraction form
    206,434.55/309,652.29 = 56,676.89/x
  3. Step 3: Cross multiply
    206,434.55x = 309,652.29 × 56,676.89
  4. Step 4: Simplify right side
    206,434.55x = 17,550,128,778.58
  5. Step 5: Solve for x
    x = 17,550,128,778.58/206,434.55
  6. Step 6: Final answer
    x = 85,015.46

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1.5x scale

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.