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Finding the Fourth Proportional to 408,086.40, 612,129.60 and 127,603.20

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Solution

The fourth proportional to 408,086.40, 612,129.60 and 127,603.20 is: 191,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,086.40 : 612,129.60 = 127,603.20 : x
  2. Step 2: Convert to fraction form
    408,086.40/612,129.60 = 127,603.20/x
  3. Step 3: Cross multiply
    408,086.40x = 612,129.60 × 127,603.20
  4. Step 4: Simplify right side
    408,086.40x = 78,109,695,774.72
  5. Step 5: Solve for x
    x = 78,109,695,774.72/408,086.40
  6. Step 6: Final answer
    x = 191,404.80

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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.