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Finding the Fourth Proportional to 561,254.92, 842,214.51 and 206,518.04

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Solution

The fourth proportional to 561,254.92, 842,214.51 and 206,518.04 is: 309,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,254.92 : 842,214.51 = 206,518.04 : x
  2. Step 2: Convert to fraction form
    561,254.92/842,214.51 = 206,518.04/x
  3. Step 3: Cross multiply
    561,254.92x = 842,214.51 × 206,518.04
  4. Step 4: Simplify right side
    561,254.92x = 173,932,489,864.76
  5. Step 5: Solve for x
    x = 173,932,489,864.76/561,254.92
  6. Step 6: Final answer
    x = 309,899.27

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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.