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Finding the Fourth Proportional to 408,434.88, 612,652.59 and 127,974

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Solution

The fourth proportional to 408,434.88, 612,652.59 and 127,974 is: 191,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,434.88 : 612,652.59 = 127,974 : x
  2. Step 2: Convert to fraction form
    408,434.88/612,652.59 = 127,974/x
  3. Step 3: Cross multiply
    408,434.88x = 612,652.59 × 127,974
  4. Step 4: Simplify right side
    408,434.88x = 78,403,602,552.66
  5. Step 5: Solve for x
    x = 78,403,602,552.66/408,434.88
  6. Step 6: Final answer
    x = 191,961.08

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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.