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Finding the Fourth Proportional to 230,857, 318,602.10 and 130,274.44

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Solution

The fourth proportional to 230,857, 318,602.10 and 130,274.44 is: 179,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,857 : 318,602.10 = 130,274.44 : x
  2. Step 2: Convert to fraction form
    230,857/318,602.10 = 130,274.44/x
  3. Step 3: Cross multiply
    230,857x = 318,602.10 × 130,274.44
  4. Step 4: Simplify right side
    230,857x = 41,505,710,160.32
  5. Step 5: Solve for x
    x = 41,505,710,160.32/230,857
  6. Step 6: Final answer
    x = 179,789.70

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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.