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Finding the Fourth Proportional to 408,320.34, 612,605.06 and 208,780.90

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Solution

The fourth proportional to 408,320.34, 612,605.06 and 208,780.90 is: 313,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,320.34 : 612,605.06 = 208,780.90 : x
  2. Step 2: Convert to fraction form
    408,320.34/612,605.06 = 208,780.90/x
  3. Step 3: Cross multiply
    408,320.34x = 612,605.06 × 208,780.90
  4. Step 4: Simplify right side
    408,320.34x = 127,900,235,771.35
  5. Step 5: Solve for x
    x = 127,900,235,771.35/408,320.34
  6. Step 6: Final answer
    x = 313,235.03

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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.