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Finding the Fourth Proportional to 384,714.60, 577,083.69 and 131,991.57

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Solution

The fourth proportional to 384,714.60, 577,083.69 and 131,991.57 is: 197,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,714.60 : 577,083.69 = 131,991.57 : x
  2. Step 2: Convert to fraction form
    384,714.60/577,083.69 = 131,991.57/x
  3. Step 3: Cross multiply
    384,714.60x = 577,083.69 × 131,991.57
  4. Step 4: Simplify right side
    384,714.60x = 76,170,182,264.49
  5. Step 5: Solve for x
    x = 76,170,182,264.49/384,714.60
  6. Step 6: Final answer
    x = 197,991.40

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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.