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Finding the Fourth Proportional to 503,047.91, 694,202.81 and 285,298.04

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Solution

The fourth proportional to 503,047.91, 694,202.81 and 285,298.04 is: 393,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,047.91 : 694,202.81 = 285,298.04 : x
  2. Step 2: Convert to fraction form
    503,047.91/694,202.81 = 285,298.04/x
  3. Step 3: Cross multiply
    503,047.91x = 694,202.81 × 285,298.04
  4. Step 4: Simplify right side
    503,047.91x = 198,054,696,157.99
  5. Step 5: Solve for x
    x = 198,054,696,157.99/503,047.91
  6. Step 6: Final answer
    x = 393,709.41

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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.