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Finding the Fourth Proportional to 503,400.72, 694,708.75 and 285,618.58

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Solution

The fourth proportional to 503,400.72, 694,708.75 and 285,618.58 is: 394,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,400.72 : 694,708.75 = 285,618.58 : x
  2. Step 2: Convert to fraction form
    503,400.72/694,708.75 = 285,618.58/x
  3. Step 3: Cross multiply
    503,400.72x = 694,708.75 × 285,618.58
  4. Step 4: Simplify right side
    503,400.72x = 198,421,725,308.83
  5. Step 5: Solve for x
    x = 198,421,725,308.83/503,400.72
  6. Step 6: Final answer
    x = 394,162.57

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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.