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Finding the Fourth Proportional to 448,078.30, 672,117.45 and 413,863.90

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Solution

The fourth proportional to 448,078.30, 672,117.45 and 413,863.90 is: 620,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,078.30 : 672,117.45 = 413,863.90 : x
  2. Step 2: Convert to fraction form
    448,078.30/672,117.45 = 413,863.90/x
  3. Step 3: Cross multiply
    448,078.30x = 672,117.45 × 413,863.90
  4. Step 4: Simplify right side
    448,078.30x = 278,165,149,115.06
  5. Step 5: Solve for x
    x = 278,165,149,115.06/448,078.30
  6. Step 6: Final answer
    x = 620,795.85

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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.