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Finding the Fourth Proportional to 486,733.83, 728,324.51 and 287,149.83

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Solution

The fourth proportional to 486,733.83, 728,324.51 and 287,149.83 is: 429,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,733.83 : 728,324.51 = 287,149.83 : x
  2. Step 2: Convert to fraction form
    486,733.83/728,324.51 = 287,149.83/x
  3. Step 3: Cross multiply
    486,733.83x = 728,324.51 × 287,149.83
  4. Step 4: Simplify right side
    486,733.83x = 209,138,257,795.58
  5. Step 5: Solve for x
    x = 209,138,257,795.58/486,733.83
  6. Step 6: Final answer
    x = 429,676.85

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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.