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Finding the Fourth Proportional to 613,805.76, 847,049.58 and 341,876.88

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Solution

The fourth proportional to 613,805.76, 847,049.58 and 341,876.88 is: 471,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,805.76 : 847,049.58 = 341,876.88 : x
  2. Step 2: Convert to fraction form
    613,805.76/847,049.58 = 341,876.88/x
  3. Step 3: Cross multiply
    613,805.76x = 847,049.58 × 341,876.88
  4. Step 4: Simplify right side
    613,805.76x = 289,586,667,615.71
  5. Step 5: Solve for x
    x = 289,586,667,615.71/613,805.76
  6. Step 6: Final answer
    x = 471,788.78

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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.