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Finding the Fourth Proportional to 257,805.64, 355,766.43 and 143,077.62

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Solution

The fourth proportional to 257,805.64, 355,766.43 and 143,077.62 is: 197,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,805.64 : 355,766.43 = 143,077.62 : x
  2. Step 2: Convert to fraction form
    257,805.64/355,766.43 = 143,077.62/x
  3. Step 3: Cross multiply
    257,805.64x = 355,766.43 × 143,077.62
  4. Step 4: Simplify right side
    257,805.64x = 50,902,214,080.30
  5. Step 5: Solve for x
    x = 50,902,214,080.30/257,805.64
  6. Step 6: Final answer
    x = 197,444.14

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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.