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Finding the Fourth Proportional to 493,972.32, 681,713.12 and 302,959.68

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Solution

The fourth proportional to 493,972.32, 681,713.12 and 302,959.68 is: 418,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,972.32 : 681,713.12 = 302,959.68 : x
  2. Step 2: Convert to fraction form
    493,972.32/681,713.12 = 302,959.68/x
  3. Step 3: Cross multiply
    493,972.32x = 681,713.12 × 302,959.68
  4. Step 4: Simplify right side
    493,972.32x = 206,531,588,687.00
  5. Step 5: Solve for x
    x = 206,531,588,687.00/493,972.32
  6. Step 6: Final answer
    x = 418,103.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.