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Finding the Fourth Proportional to 260,419.80, 389,560.26 and 207,931.80

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Solution

The fourth proportional to 260,419.80, 389,560.26 and 207,931.80 is: 311,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,419.80 : 389,560.26 = 207,931.80 : x
  2. Step 2: Convert to fraction form
    260,419.80/389,560.26 = 207,931.80/x
  3. Step 3: Cross multiply
    260,419.80x = 389,560.26 × 207,931.80
  4. Step 4: Simplify right side
    260,419.80x = 81,001,966,070.27
  5. Step 5: Solve for x
    x = 81,001,966,070.27/260,419.80
  6. Step 6: Final answer
    x = 311,043.81

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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.