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Finding the Fourth Proportional to 510,861.93, 766,385.84 and 211,179.75

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Solution

The fourth proportional to 510,861.93, 766,385.84 and 211,179.75 is: 316,808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,861.93 : 766,385.84 = 211,179.75 : x
  2. Step 2: Convert to fraction form
    510,861.93/766,385.84 = 211,179.75/x
  3. Step 3: Cross multiply
    510,861.93x = 766,385.84 × 211,179.75
  4. Step 4: Simplify right side
    510,861.93x = 161,845,165,206.91
  5. Step 5: Solve for x
    x = 161,845,165,206.91/510,861.93
  6. Step 6: Final answer
    x = 316,808.04

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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.