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Finding the Fourth Proportional to 259,417.20, 389,125.80 and 206,929.20

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Solution

The fourth proportional to 259,417.20, 389,125.80 and 206,929.20 is: 310,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,417.20 : 389,125.80 = 206,929.20 : x
  2. Step 2: Convert to fraction form
    259,417.20/389,125.80 = 206,929.20/x
  3. Step 3: Cross multiply
    259,417.20x = 389,125.80 × 206,929.20
  4. Step 4: Simplify right side
    259,417.20x = 80,521,490,493.36
  5. Step 5: Solve for x
    x = 80,521,490,493.36/259,417.20
  6. Step 6: Final answer
    x = 310,393.80

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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.