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Finding the Fourth Proportional to 510,763.13, 766,188.77 and 131,680.65

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Solution

The fourth proportional to 510,763.13, 766,188.77 and 131,680.65 is: 197,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,763.13 : 766,188.77 = 131,680.65 : x
  2. Step 2: Convert to fraction form
    510,763.13/766,188.77 = 131,680.65/x
  3. Step 3: Cross multiply
    510,763.13x = 766,188.77 × 131,680.65
  4. Step 4: Simplify right side
    510,763.13x = 100,892,234,597.90
  5. Step 5: Solve for x
    x = 100,892,234,597.90/510,763.13
  6. Step 6: Final answer
    x = 197,532.34

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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.