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Finding the Fourth Proportional to 257,070.80, 385,548.60 and 168,942.80

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Solution

The fourth proportional to 257,070.80, 385,548.60 and 168,942.80 is: 253,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,070.80 : 385,548.60 = 168,942.80 : x
  2. Step 2: Convert to fraction form
    257,070.80/385,548.60 = 168,942.80/x
  3. Step 3: Cross multiply
    257,070.80x = 385,548.60 × 168,942.80
  4. Step 4: Simplify right side
    257,070.80x = 65,135,660,020.08
  5. Step 5: Solve for x
    x = 65,135,660,020.08/257,070.80
  6. Step 6: Final answer
    x = 253,376.35

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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.