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Finding the Fourth Proportional to 680,563, 939,176.94 and 378,828.28

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Solution

The fourth proportional to 680,563, 939,176.94 and 378,828.28 is: 522,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,563 : 939,176.94 = 378,828.28 : x
  2. Step 2: Convert to fraction form
    680,563/939,176.94 = 378,828.28/x
  3. Step 3: Cross multiply
    680,563x = 939,176.94 × 378,828.28
  4. Step 4: Simplify right side
    680,563x = 355,786,784,795.86
  5. Step 5: Solve for x
    x = 355,786,784,795.86/680,563
  6. Step 6: Final answer
    x = 522,783.03

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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.