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Finding the Fourth Proportional to 259,045.20, 387,911.70 and 206,557.20

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Solution

The fourth proportional to 259,045.20, 387,911.70 and 206,557.20 is: 309,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,045.20 : 387,911.70 = 206,557.20 : x
  2. Step 2: Convert to fraction form
    259,045.20/387,911.70 = 206,557.20/x
  3. Step 3: Cross multiply
    259,045.20x = 387,911.70 × 206,557.20
  4. Step 4: Simplify right side
    259,045.20x = 80,125,954,599.24
  5. Step 5: Solve for x
    x = 80,125,954,599.24/259,045.20
  6. Step 6: Final answer
    x = 309,312.64

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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.