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Finding the Fourth Proportional to 381,416.32, 571,994.88 and 132,040

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Solution

The fourth proportional to 381,416.32, 571,994.88 and 132,040 is: 198,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,416.32 : 571,994.88 = 132,040 : x
  2. Step 2: Convert to fraction form
    381,416.32/571,994.88 = 132,040/x
  3. Step 3: Cross multiply
    381,416.32x = 571,994.88 × 132,040
  4. Step 4: Simplify right side
    381,416.32x = 75,526,203,955.20
  5. Step 5: Solve for x
    x = 75,526,203,955.20/381,416.32
  6. Step 6: Final answer
    x = 198,015.13

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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.