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Finding the Fourth Proportional to 391,113.72, 586,670.58 and 204,081.48

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Solution

The fourth proportional to 391,113.72, 586,670.58 and 204,081.48 is: 306,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,113.72 : 586,670.58 = 204,081.48 : x
  2. Step 2: Convert to fraction form
    391,113.72/586,670.58 = 204,081.48/x
  3. Step 3: Cross multiply
    391,113.72x = 586,670.58 × 204,081.48
  4. Step 4: Simplify right side
    391,113.72x = 119,728,600,238.86
  5. Step 5: Solve for x
    x = 119,728,600,238.86/391,113.72
  6. Step 6: Final answer
    x = 306,122.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.