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Finding the Fourth Proportional to 408,107.02, 612,223.91 and 208,319.30

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Solution

The fourth proportional to 408,107.02, 612,223.91 and 208,319.30 is: 312,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,107.02 : 612,223.91 = 208,319.30 : x
  2. Step 2: Convert to fraction form
    408,107.02/612,223.91 = 208,319.30/x
  3. Step 3: Cross multiply
    408,107.02x = 612,223.91 × 208,319.30
  4. Step 4: Simplify right side
    408,107.02x = 127,538,055,332.87
  5. Step 5: Solve for x
    x = 127,538,055,332.87/408,107.02
  6. Step 6: Final answer
    x = 312,511.30

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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.