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Finding the Fourth Proportional to 408,047.90, 612,071.85 and 404,111.30

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Solution

The fourth proportional to 408,047.90, 612,071.85 and 404,111.30 is: 606,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.90 : 612,071.85 = 404,111.30 : x
  2. Step 2: Convert to fraction form
    408,047.90/612,071.85 = 404,111.30/x
  3. Step 3: Cross multiply
    408,047.90x = 612,071.85 × 404,111.30
  4. Step 4: Simplify right side
    408,047.90x = 247,345,150,996.91
  5. Step 5: Solve for x
    x = 247,345,150,996.91/408,047.90
  6. Step 6: Final answer
    x = 606,166.95

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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.