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Finding the Fourth Proportional to 663,136.40, 994,461.60 and 213,975.20

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Solution

The fourth proportional to 663,136.40, 994,461.60 and 213,975.20 is: 320,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,136.40 : 994,461.60 = 213,975.20 : x
  2. Step 2: Convert to fraction form
    663,136.40/994,461.60 = 213,975.20/x
  3. Step 3: Cross multiply
    663,136.40x = 994,461.60 × 213,975.20
  4. Step 4: Simplify right side
    663,136.40x = 212,790,119,752.32
  5. Step 5: Solve for x
    x = 212,790,119,752.32/663,136.40
  6. Step 6: Final answer
    x = 320,884.39

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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.