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Finding the Fourth Proportional to 257,097.80, 385,646.70 and 166,896.20

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Solution

The fourth proportional to 257,097.80, 385,646.70 and 166,896.20 is: 250,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,097.80 : 385,646.70 = 166,896.20 : x
  2. Step 2: Convert to fraction form
    257,097.80/385,646.70 = 166,896.20/x
  3. Step 3: Cross multiply
    257,097.80x = 385,646.70 × 166,896.20
  4. Step 4: Simplify right side
    257,097.80x = 64,362,968,772.54
  5. Step 5: Solve for x
    x = 64,362,968,772.54/257,097.80
  6. Step 6: Final answer
    x = 250,344.30

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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.