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Finding the Fourth Proportional to 260,216.40, 389,960.10 and 206,999.40

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Solution

The fourth proportional to 260,216.40, 389,960.10 and 206,999.40 is: 310,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,216.40 : 389,960.10 = 206,999.40 : x
  2. Step 2: Convert to fraction form
    260,216.40/389,960.10 = 206,999.40/x
  3. Step 3: Cross multiply
    260,216.40x = 389,960.10 × 206,999.40
  4. Step 4: Simplify right side
    260,216.40x = 80,721,506,723.94
  5. Step 5: Solve for x
    x = 80,721,506,723.94/260,216.40
  6. Step 6: Final answer
    x = 310,209.14

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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.