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Finding the Fourth Proportional to 613,920.91, 847,236.37 and 341,988.72

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Solution

The fourth proportional to 613,920.91, 847,236.37 and 341,988.72 is: 471,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,920.91 : 847,236.37 = 341,988.72 : x
  2. Step 2: Convert to fraction form
    613,920.91/847,236.37 = 341,988.72/x
  3. Step 3: Cross multiply
    613,920.91x = 847,236.37 × 341,988.72
  4. Step 4: Simplify right side
    613,920.91x = 289,745,281,713.75
  5. Step 5: Solve for x
    x = 289,745,281,713.75/613,920.91
  6. Step 6: Final answer
    x = 471,958.65

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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.