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Finding the Fourth Proportional to 503,669.61, 695,028.97 and 285,882.74

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Solution

The fourth proportional to 503,669.61, 695,028.97 and 285,882.74 is: 394,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,669.61 : 695,028.97 = 285,882.74 : x
  2. Step 2: Convert to fraction form
    503,669.61/695,028.97 = 285,882.74/x
  3. Step 3: Cross multiply
    503,669.61x = 695,028.97 × 285,882.74
  4. Step 4: Simplify right side
    503,669.61x = 198,696,786,322.98
  5. Step 5: Solve for x
    x = 198,696,786,322.98/503,669.61
  6. Step 6: Final answer
    x = 394,498.26

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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.