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Finding the Fourth Proportional to 408,310.47, 612,590.13 and 208,771.02

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Solution

The fourth proportional to 408,310.47, 612,590.13 and 208,771.02 is: 313,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,310.47 : 612,590.13 = 208,771.02 : x
  2. Step 2: Convert to fraction form
    408,310.47/612,590.13 = 208,771.02/x
  3. Step 3: Cross multiply
    408,310.47x = 612,590.13 × 208,771.02
  4. Step 4: Simplify right side
    408,310.47x = 127,891,066,282.03
  5. Step 5: Solve for x
    x = 127,891,066,282.03/408,310.47
  6. Step 6: Final answer
    x = 313,220.15

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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.