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Finding the Fourth Proportional to 384,713.10, 577,081.44 and 131,990.07

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Solution

The fourth proportional to 384,713.10, 577,081.44 and 131,990.07 is: 197,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,713.10 : 577,081.44 = 131,990.07 : x
  2. Step 2: Convert to fraction form
    384,713.10/577,081.44 = 131,990.07/x
  3. Step 3: Cross multiply
    384,713.10x = 577,081.44 × 131,990.07
  4. Step 4: Simplify right side
    384,713.10x = 76,169,019,661.30
  5. Step 5: Solve for x
    x = 76,169,019,661.30/384,713.10
  6. Step 6: Final answer
    x = 197,989.15

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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.