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Finding the Fourth Proportional to 510,491.58, 765,742.77 and 210,765.66

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Solution

The fourth proportional to 510,491.58, 765,742.77 and 210,765.66 is: 316,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,491.58 : 765,742.77 = 210,765.66 : x
  2. Step 2: Convert to fraction form
    510,491.58/765,742.77 = 210,765.66/x
  3. Step 3: Cross multiply
    510,491.58x = 765,742.77 × 210,765.66
  4. Step 4: Simplify right side
    510,491.58x = 161,392,280,309.28
  5. Step 5: Solve for x
    x = 161,392,280,309.28/510,491.58
  6. Step 6: Final answer
    x = 316,150.72

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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.