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Finding the Fourth Proportional to 409,311.72, 560,759.10 and 393,971.10

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Solution

The fourth proportional to 409,311.72, 560,759.10 and 393,971.10 is: 539,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,311.72 : 560,759.10 = 393,971.10 : x
  2. Step 2: Convert to fraction form
    409,311.72/560,759.10 = 393,971.10/x
  3. Step 3: Cross multiply
    409,311.72x = 560,759.10 × 393,971.10
  4. Step 4: Simplify right side
    409,311.72x = 220,922,879,462.01
  5. Step 5: Solve for x
    x = 220,922,879,462.01/409,311.72
  6. Step 6: Final answer
    x = 539,742.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.