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Finding the Fourth Proportional to 503,751.21, 695,123.82 and 285,890.51

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Solution

The fourth proportional to 503,751.21, 695,123.82 and 285,890.51 is: 394,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,751.21 : 695,123.82 = 285,890.51 : x
  2. Step 2: Convert to fraction form
    503,751.21/695,123.82 = 285,890.51/x
  3. Step 3: Cross multiply
    503,751.21x = 695,123.82 × 285,890.51
  4. Step 4: Simplify right side
    503,751.21x = 198,729,299,937.33
  5. Step 5: Solve for x
    x = 198,729,299,937.33/503,751.21
  6. Step 6: Final answer
    x = 394,498.90

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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.