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Finding the Fourth Proportional to 404,214.40, 606,321.60 and 137,983.60

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Solution

The fourth proportional to 404,214.40, 606,321.60 and 137,983.60 is: 206,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,214.40 : 606,321.60 = 137,983.60 : x
  2. Step 2: Convert to fraction form
    404,214.40/606,321.60 = 137,983.60/x
  3. Step 3: Cross multiply
    404,214.40x = 606,321.60 × 137,983.60
  4. Step 4: Simplify right side
    404,214.40x = 83,662,437,125.76
  5. Step 5: Solve for x
    x = 83,662,437,125.76/404,214.40
  6. Step 6: Final answer
    x = 206,975.40

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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.