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Finding the Fourth Proportional to 493,413, 681,037.56 and 321,758.88

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Solution

The fourth proportional to 493,413, 681,037.56 and 321,758.88 is: 444,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,413 : 681,037.56 = 321,758.88 : x
  2. Step 2: Convert to fraction form
    493,413/681,037.56 = 321,758.88/x
  3. Step 3: Cross multiply
    493,413x = 681,037.56 × 321,758.88
  4. Step 4: Simplify right side
    493,413x = 219,129,882,543.53
  5. Step 5: Solve for x
    x = 219,129,882,543.53/493,413
  6. Step 6: Final answer
    x = 444,110.48

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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.