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Finding the Fourth Proportional to 384,712.60, 577,080.68 and 131,989.56

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Solution

The fourth proportional to 384,712.60, 577,080.68 and 131,989.56 is: 197,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,712.60 : 577,080.68 = 131,989.56 : x
  2. Step 2: Convert to fraction form
    384,712.60/577,080.68 = 131,989.56/x
  3. Step 3: Cross multiply
    384,712.60x = 577,080.68 × 131,989.56
  4. Step 4: Simplify right side
    384,712.60x = 76,168,625,037.70
  5. Step 5: Solve for x
    x = 76,168,625,037.70/384,712.60
  6. Step 6: Final answer
    x = 197,988.38

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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.