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Finding the Fourth Proportional to 218,613.87, 301,826.43 and 178,423.49

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Solution

The fourth proportional to 218,613.87, 301,826.43 and 178,423.49 is: 246,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,613.87 : 301,826.43 = 178,423.49 : x
  2. Step 2: Convert to fraction form
    218,613.87/301,826.43 = 178,423.49/x
  3. Step 3: Cross multiply
    218,613.87x = 301,826.43 × 178,423.49
  4. Step 4: Simplify right side
    218,613.87x = 53,852,925,769.41
  5. Step 5: Solve for x
    x = 53,852,925,769.41/218,613.87
  6. Step 6: Final answer
    x = 246,338.10

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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.