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Finding the Fourth Proportional to 260,184.90, 389,694.15 and 213,528.90

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Solution

The fourth proportional to 260,184.90, 389,694.15 and 213,528.90 is: 319,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,184.90 : 389,694.15 = 213,528.90 : x
  2. Step 2: Convert to fraction form
    260,184.90/389,694.15 = 213,528.90/x
  3. Step 3: Cross multiply
    260,184.90x = 389,694.15 × 213,528.90
  4. Step 4: Simplify right side
    260,184.90x = 83,210,963,185.94
  5. Step 5: Solve for x
    x = 83,210,963,185.94/260,184.90
  6. Step 6: Final answer
    x = 319,814.73

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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.