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Finding the Fourth Proportional to 408,368.88, 612,553.32 and 127,908

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Solution

The fourth proportional to 408,368.88, 612,553.32 and 127,908 is: 191,862

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,368.88 : 612,553.32 = 127,908 : x
  2. Step 2: Convert to fraction form
    408,368.88/612,553.32 = 127,908/x
  3. Step 3: Cross multiply
    408,368.88x = 612,553.32 × 127,908
  4. Step 4: Simplify right side
    408,368.88x = 78,350,470,054.56
  5. Step 5: Solve for x
    x = 78,350,470,054.56/408,368.88
  6. Step 6: Final answer
    x = 191,862

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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.