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Finding the Fourth Proportional to 510,655.88, 765,914.87 and 211,094.90

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Solution

The fourth proportional to 510,655.88, 765,914.87 and 211,094.90 is: 316,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,655.88 : 765,914.87 = 211,094.90 : x
  2. Step 2: Convert to fraction form
    510,655.88/765,914.87 = 211,094.90/x
  3. Step 3: Cross multiply
    510,655.88x = 765,914.87 × 211,094.90
  4. Step 4: Simplify right side
    510,655.88x = 161,680,718,006.11
  5. Step 5: Solve for x
    x = 161,680,718,006.11/510,655.88
  6. Step 6: Final answer
    x = 316,613.84

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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.