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Finding the Fourth Proportional to 419,929.83, 630,155.97 and 170,611.83

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Solution

The fourth proportional to 419,929.83, 630,155.97 and 170,611.83 is: 256,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,929.83 : 630,155.97 = 170,611.83 : x
  2. Step 2: Convert to fraction form
    419,929.83/630,155.97 = 170,611.83/x
  3. Step 3: Cross multiply
    419,929.83x = 630,155.97 × 170,611.83
  4. Step 4: Simplify right side
    419,929.83x = 107,512,063,227.13
  5. Step 5: Solve for x
    x = 107,512,063,227.13/419,929.83
  6. Step 6: Final answer
    x = 256,023.88

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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.