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Finding the Fourth Proportional to 257,980.88, 386,897.88 and 100,175.60

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Solution

The fourth proportional to 257,980.88, 386,897.88 and 100,175.60 is: 150,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,980.88 : 386,897.88 = 100,175.60 : x
  2. Step 2: Convert to fraction form
    257,980.88/386,897.88 = 100,175.60/x
  3. Step 3: Cross multiply
    257,980.88x = 386,897.88 × 100,175.60
  4. Step 4: Simplify right side
    257,980.88x = 38,757,727,267.73
  5. Step 5: Solve for x
    x = 38,757,727,267.73/257,980.88
  6. Step 6: Final answer
    x = 150,234.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.