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Finding the Fourth Proportional to 493,028.42, 680,365.41 and 278,188.47

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Solution

The fourth proportional to 493,028.42, 680,365.41 and 278,188.47 is: 383,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,028.42 : 680,365.41 = 278,188.47 : x
  2. Step 2: Convert to fraction form
    493,028.42/680,365.41 = 278,188.47/x
  3. Step 3: Cross multiply
    493,028.42x = 680,365.41 × 278,188.47
  4. Step 4: Simplify right side
    493,028.42x = 189,269,812,448.82
  5. Step 5: Solve for x
    x = 189,269,812,448.82/493,028.42
  6. Step 6: Final answer
    x = 383,892.30

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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.