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Finding the Fourth Proportional to 427,423.91, 589,793.61 and 246,194.78

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Solution

The fourth proportional to 427,423.91, 589,793.61 and 246,194.78 is: 339,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,423.91 : 589,793.61 = 246,194.78 : x
  2. Step 2: Convert to fraction form
    427,423.91/589,793.61 = 246,194.78/x
  3. Step 3: Cross multiply
    427,423.91x = 589,793.61 × 246,194.78
  4. Step 4: Simplify right side
    427,423.91x = 145,204,110,457.07
  5. Step 5: Solve for x
    x = 145,204,110,457.07/427,423.91
  6. Step 6: Final answer
    x = 339,719.20

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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.