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Finding the Fourth Proportional to 257,808.08, 355,769.78 and 143,080.04

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Solution

The fourth proportional to 257,808.08, 355,769.78 and 143,080.04 is: 197,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,808.08 : 355,769.78 = 143,080.04 : x
  2. Step 2: Convert to fraction form
    257,808.08/355,769.78 = 143,080.04/x
  3. Step 3: Cross multiply
    257,808.08x = 355,769.78 × 143,080.04
  4. Step 4: Simplify right side
    257,808.08x = 50,903,551,858.94
  5. Step 5: Solve for x
    x = 50,903,551,858.94/257,808.08
  6. Step 6: Final answer
    x = 197,447.47

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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.