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Finding the Fourth Proportional to 206,431.79, 309,648.16 and 56,674.13

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Solution

The fourth proportional to 206,431.79, 309,648.16 and 56,674.13 is: 85,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,431.79 : 309,648.16 = 56,674.13 : x
  2. Step 2: Convert to fraction form
    206,431.79/309,648.16 = 56,674.13/x
  3. Step 3: Cross multiply
    206,431.79x = 309,648.16 × 56,674.13
  4. Step 4: Simplify right side
    206,431.79x = 17,549,040,074.10
  5. Step 5: Solve for x
    x = 17,549,040,074.10/206,431.79
  6. Step 6: Final answer
    x = 85,011.33

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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.