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Finding the Fourth Proportional to 538,904.70, 809,231.85 and 302,708.70

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Solution

The fourth proportional to 538,904.70, 809,231.85 and 302,708.70 is: 454,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,904.70 : 809,231.85 = 302,708.70 : x
  2. Step 2: Convert to fraction form
    538,904.70/809,231.85 = 302,708.70/x
  3. Step 3: Cross multiply
    538,904.70x = 809,231.85 × 302,708.70
  4. Step 4: Simplify right side
    538,904.70x = 244,961,521,312.10
  5. Step 5: Solve for x
    x = 244,961,521,312.10/538,904.70
  6. Step 6: Final answer
    x = 454,554.43

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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.