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Finding the Fourth Proportional to 257,806.50, 355,767.62 and 143,078.48

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Solution

The fourth proportional to 257,806.50, 355,767.62 and 143,078.48 is: 197,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,806.50 : 355,767.62 = 143,078.48 : x
  2. Step 2: Convert to fraction form
    257,806.50/355,767.62 = 143,078.48/x
  3. Step 3: Cross multiply
    257,806.50x = 355,767.62 × 143,078.48
  4. Step 4: Simplify right side
    257,806.50x = 50,902,690,302.82
  5. Step 5: Solve for x
    x = 50,902,690,302.82/257,806.50
  6. Step 6: Final answer
    x = 197,445.33

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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.