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Finding the Fourth Proportional to 286,712.06, 395,711.53 and 165,926.88

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Solution

The fourth proportional to 286,712.06, 395,711.53 and 165,926.88 is: 229,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,712.06 : 395,711.53 = 165,926.88 : x
  2. Step 2: Convert to fraction form
    286,712.06/395,711.53 = 165,926.88/x
  3. Step 3: Cross multiply
    286,712.06x = 395,711.53 × 165,926.88
  4. Step 4: Simplify right side
    286,712.06x = 65,659,179,138.11
  5. Step 5: Solve for x
    x = 65,659,179,138.11/286,712.06
  6. Step 6: Final answer
    x = 229,007.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.