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Finding the Fourth Proportional to 413,285.42, 618,512.58 and 287,067.98

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Solution

The fourth proportional to 413,285.42, 618,512.58 and 287,067.98 is: 429,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,285.42 : 618,512.58 = 287,067.98 : x
  2. Step 2: Convert to fraction form
    413,285.42/618,512.58 = 287,067.98/x
  3. Step 3: Cross multiply
    413,285.42x = 618,512.58 × 287,067.98
  4. Step 4: Simplify right side
    413,285.42x = 177,555,156,945.19
  5. Step 5: Solve for x
    x = 177,555,156,945.19/413,285.42
  6. Step 6: Final answer
    x = 429,618.73

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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.