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Finding the Fourth Proportional to 408,058.40, 612,087.60 and 127,575.20

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Solution

The fourth proportional to 408,058.40, 612,087.60 and 127,575.20 is: 191,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,058.40 : 612,087.60 = 127,575.20 : x
  2. Step 2: Convert to fraction form
    408,058.40/612,087.60 = 127,575.20/x
  3. Step 3: Cross multiply
    408,058.40x = 612,087.60 × 127,575.20
  4. Step 4: Simplify right side
    408,058.40x = 78,087,197,987.52
  5. Step 5: Solve for x
    x = 78,087,197,987.52/408,058.40
  6. Step 6: Final answer
    x = 191,362.80

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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.