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Finding the Fourth Proportional to 411,785.79, 567,865.14 and 321,108.67

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Solution

The fourth proportional to 411,785.79, 567,865.14 and 321,108.67 is: 442,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,785.79 : 567,865.14 = 321,108.67 : x
  2. Step 2: Convert to fraction form
    411,785.79/567,865.14 = 321,108.67/x
  3. Step 3: Cross multiply
    411,785.79x = 567,865.14 × 321,108.67
  4. Step 4: Simplify right side
    411,785.79x = 182,346,419,212.55
  5. Step 5: Solve for x
    x = 182,346,419,212.55/411,785.79
  6. Step 6: Final answer
    x = 442,818.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.