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Finding the Fourth Proportional to 655,891.59, 905,132.25 and 380,302.86

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Solution

The fourth proportional to 655,891.59, 905,132.25 and 380,302.86 is: 524,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,891.59 : 905,132.25 = 380,302.86 : x
  2. Step 2: Convert to fraction form
    655,891.59/905,132.25 = 380,302.86/x
  3. Step 3: Cross multiply
    655,891.59x = 905,132.25 × 380,302.86
  4. Step 4: Simplify right side
    655,891.59x = 344,224,383,353.24
  5. Step 5: Solve for x
    x = 344,224,383,353.24/655,891.59
  6. Step 6: Final answer
    x = 524,819.02

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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.