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Finding the Fourth Proportional to 257,818.23, 355,786.46 and 143,097.86

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Solution

The fourth proportional to 257,818.23, 355,786.46 and 143,097.86 is: 197,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,818.23 : 355,786.46 = 143,097.86 : x
  2. Step 2: Convert to fraction form
    257,818.23/355,786.46 = 143,097.86/x
  3. Step 3: Cross multiply
    257,818.23x = 355,786.46 × 143,097.86
  4. Step 4: Simplify right side
    257,818.23x = 50,912,281,753.57
  5. Step 5: Solve for x
    x = 50,912,281,753.57/257,818.23
  6. Step 6: Final answer
    x = 197,473.55

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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.