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Finding the Fourth Proportional to 411,043.96, 616,145.52 and 208,264.42

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Solution

The fourth proportional to 411,043.96, 616,145.52 and 208,264.42 is: 312,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,043.96 : 616,145.52 = 208,264.42 : x
  2. Step 2: Convert to fraction form
    411,043.96/616,145.52 = 208,264.42/x
  3. Step 3: Cross multiply
    411,043.96x = 616,145.52 × 208,264.42
  4. Step 4: Simplify right side
    411,043.96x = 128,321,189,358.40
  5. Step 5: Solve for x
    x = 128,321,189,358.40/411,043.96
  6. Step 6: Final answer
    x = 312,183.62

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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.