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Finding the Fourth Proportional to 408,432.88, 612,649.59 and 127,972

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Solution

The fourth proportional to 408,432.88, 612,649.59 and 127,972 is: 191,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,432.88 : 612,649.59 = 127,972 : x
  2. Step 2: Convert to fraction form
    408,432.88/612,649.59 = 127,972/x
  3. Step 3: Cross multiply
    408,432.88x = 612,649.59 × 127,972
  4. Step 4: Simplify right side
    408,432.88x = 78,401,993,331.48
  5. Step 5: Solve for x
    x = 78,401,993,331.48/408,432.88
  6. Step 6: Final answer
    x = 191,958.08

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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.