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Finding the Fourth Proportional to 326,719.20, 490,103.10 and 116,329.80

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Solution

The fourth proportional to 326,719.20, 490,103.10 and 116,329.80 is: 174,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,719.20 : 490,103.10 = 116,329.80 : x
  2. Step 2: Convert to fraction form
    326,719.20/490,103.10 = 116,329.80/x
  3. Step 3: Cross multiply
    326,719.20x = 490,103.10 × 116,329.80
  4. Step 4: Simplify right side
    326,719.20x = 57,013,595,602.38
  5. Step 5: Solve for x
    x = 57,013,595,602.38/326,719.20
  6. Step 6: Final answer
    x = 174,503.35

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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.