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Finding the Fourth Proportional to 618,632.24, 928,446.57 and 319,198.44

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Solution

The fourth proportional to 618,632.24, 928,446.57 and 319,198.44 is: 479,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,632.24 : 928,446.57 = 319,198.44 : x
  2. Step 2: Convert to fraction form
    618,632.24/928,446.57 = 319,198.44/x
  3. Step 3: Cross multiply
    618,632.24x = 928,446.57 × 319,198.44
  4. Step 4: Simplify right side
    618,632.24x = 296,358,695,026.51
  5. Step 5: Solve for x
    x = 296,358,695,026.51/618,632.24
  6. Step 6: Final answer
    x = 479,054.72

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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.