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Finding the Fourth Proportional to 504,354.50, 696,009.21 and 278,004.86

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Solution

The fourth proportional to 504,354.50, 696,009.21 and 278,004.86 is: 383,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,354.50 : 696,009.21 = 278,004.86 : x
  2. Step 2: Convert to fraction form
    504,354.50/696,009.21 = 278,004.86/x
  3. Step 3: Cross multiply
    504,354.50x = 696,009.21 × 278,004.86
  4. Step 4: Simplify right side
    504,354.50x = 193,493,942,984.76
  5. Step 5: Solve for x
    x = 193,493,942,984.76/504,354.50
  6. Step 6: Final answer
    x = 383,646.71

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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.