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Finding the Fourth Proportional to 257,910.10, 386,865.15 and 80,415.70

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Solution

The fourth proportional to 257,910.10, 386,865.15 and 80,415.70 is: 120,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,910.10 : 386,865.15 = 80,415.70 : x
  2. Step 2: Convert to fraction form
    257,910.10/386,865.15 = 80,415.70/x
  3. Step 3: Cross multiply
    257,910.10x = 386,865.15 × 80,415.70
  4. Step 4: Simplify right side
    257,910.10x = 31,110,031,842.86
  5. Step 5: Solve for x
    x = 31,110,031,842.86/257,910.10
  6. Step 6: Final answer
    x = 120,623.55

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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.