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Finding the Fourth Proportional to 257,806.58, 355,767.71 and 143,078.54

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Solution

The fourth proportional to 257,806.58, 355,767.71 and 143,078.54 is: 197,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,806.58 : 355,767.71 = 143,078.54 : x
  2. Step 2: Convert to fraction form
    257,806.58/355,767.71 = 143,078.54/x
  3. Step 3: Cross multiply
    257,806.58x = 355,767.71 × 143,078.54
  4. Step 4: Simplify right side
    257,806.58x = 50,902,722,031.71
  5. Step 5: Solve for x
    x = 50,902,722,031.71/257,806.58
  6. Step 6: Final answer
    x = 197,445.40

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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.