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Finding the Fourth Proportional to 510,268.77, 765,576.11 and 225,920.10

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Solution

The fourth proportional to 510,268.77, 765,576.11 and 225,920.10 is: 338,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,268.77 : 765,576.11 = 225,920.10 : x
  2. Step 2: Convert to fraction form
    510,268.77/765,576.11 = 225,920.10/x
  3. Step 3: Cross multiply
    510,268.77x = 765,576.11 × 225,920.10
  4. Step 4: Simplify right side
    510,268.77x = 172,959,031,328.81
  5. Step 5: Solve for x
    x = 172,959,031,328.81/510,268.77
  6. Step 6: Final answer
    x = 338,956.73

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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.