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Finding the Fourth Proportional to 257,508.72, 355,355.88 and 142,786.80

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Solution

The fourth proportional to 257,508.72, 355,355.88 and 142,786.80 is: 197,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,508.72 : 355,355.88 = 142,786.80 : x
  2. Step 2: Convert to fraction form
    257,508.72/355,355.88 = 142,786.80/x
  3. Step 3: Cross multiply
    257,508.72x = 355,355.88 × 142,786.80
  4. Step 4: Simplify right side
    257,508.72x = 50,740,128,966.38
  5. Step 5: Solve for x
    x = 50,740,128,966.38/257,508.72
  6. Step 6: Final answer
    x = 197,042.37

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1.5x scale

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.