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Finding the Fourth Proportional to 257,631.20, 386,446.80 and 210,936.80

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Solution

The fourth proportional to 257,631.20, 386,446.80 and 210,936.80 is: 316,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,631.20 : 386,446.80 = 210,936.80 : x
  2. Step 2: Convert to fraction form
    257,631.20/386,446.80 = 210,936.80/x
  3. Step 3: Cross multiply
    257,631.20x = 386,446.80 × 210,936.80
  4. Step 4: Simplify right side
    257,631.20x = 81,515,851,362.24
  5. Step 5: Solve for x
    x = 81,515,851,362.24/257,631.20
  6. Step 6: Final answer
    x = 316,405.20

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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.