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Finding the Fourth Proportional to 408,580.86, 613,445.58 and 209,044.38

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Solution

The fourth proportional to 408,580.86, 613,445.58 and 209,044.38 is: 313,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,580.86 : 613,445.58 = 209,044.38 : x
  2. Step 2: Convert to fraction form
    408,580.86/613,445.58 = 209,044.38/x
  3. Step 3: Cross multiply
    408,580.86x = 613,445.58 × 209,044.38
  4. Step 4: Simplify right side
    408,580.86x = 128,237,350,934.84
  5. Step 5: Solve for x
    x = 128,237,350,934.84/408,580.86
  6. Step 6: Final answer
    x = 313,860.40

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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.