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Finding the Fourth Proportional to 411,042.96, 616,144.02 and 208,263.42

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Solution

The fourth proportional to 411,042.96, 616,144.02 and 208,263.42 is: 312,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,042.96 : 616,144.02 = 208,263.42 : x
  2. Step 2: Convert to fraction form
    411,042.96/616,144.02 = 208,263.42/x
  3. Step 3: Cross multiply
    411,042.96x = 616,144.02 × 208,263.42
  4. Step 4: Simplify right side
    411,042.96x = 128,320,260,817.75
  5. Step 5: Solve for x
    x = 128,320,260,817.75/411,042.96
  6. Step 6: Final answer
    x = 312,182.12

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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.