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Finding the Fourth Proportional to 408,433.95, 612,709.23 and 127,973.07

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Solution

The fourth proportional to 408,433.95, 612,709.23 and 127,973.07 is: 191,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,433.95 : 612,709.23 = 127,973.07 : x
  2. Step 2: Convert to fraction form
    408,433.95/612,709.23 = 127,973.07/x
  3. Step 3: Cross multiply
    408,433.95x = 612,709.23 × 127,973.07
  4. Step 4: Simplify right side
    408,433.95x = 78,410,281,180.44
  5. Step 5: Solve for x
    x = 78,410,281,180.44/408,433.95
  6. Step 6: Final answer
    x = 191,977.87

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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.