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Finding the Fourth Proportional to 493,708.46, 681,318.15 and 278,848.94

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Solution

The fourth proportional to 493,708.46, 681,318.15 and 278,848.94 is: 384,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,708.46 : 681,318.15 = 278,848.94 : x
  2. Step 2: Convert to fraction form
    493,708.46/681,318.15 = 278,848.94/x
  3. Step 3: Cross multiply
    493,708.46x = 681,318.15 × 278,848.94
  4. Step 4: Simplify right side
    493,708.46x = 189,984,843,930.26
  5. Step 5: Solve for x
    x = 189,984,843,930.26/493,708.46
  6. Step 6: Final answer
    x = 384,811.81

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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.