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Finding the Fourth Proportional to 654,176.40, 981,329.40 and 227,646.60

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Solution

The fourth proportional to 654,176.40, 981,329.40 and 227,646.60 is: 341,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,176.40 : 981,329.40 = 227,646.60 : x
  2. Step 2: Convert to fraction form
    654,176.40/981,329.40 = 227,646.60/x
  3. Step 3: Cross multiply
    654,176.40x = 981,329.40 × 227,646.60
  4. Step 4: Simplify right side
    654,176.40x = 223,396,301,390.04
  5. Step 5: Solve for x
    x = 223,396,301,390.04/654,176.40
  6. Step 6: Final answer
    x = 341,492.45

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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.