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Finding the Fourth Proportional to 408,758.84, 613,263.10 and 209,220.60

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Solution

The fourth proportional to 408,758.84, 613,263.10 and 209,220.60 is: 313,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,758.84 : 613,263.10 = 209,220.60 : x
  2. Step 2: Convert to fraction form
    408,758.84/613,263.10 = 209,220.60/x
  3. Step 3: Cross multiply
    408,758.84x = 613,263.10 × 209,220.60
  4. Step 4: Simplify right side
    408,758.84x = 128,307,273,739.86
  5. Step 5: Solve for x
    x = 128,307,273,739.86/408,758.84
  6. Step 6: Final answer
    x = 313,894.80

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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.