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Finding the Fourth Proportional to 311,782.70, 429,973.18 and 204,313.70

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Solution

The fourth proportional to 311,782.70, 429,973.18 and 204,313.70 is: 281,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,782.70 : 429,973.18 = 204,313.70 : x
  2. Step 2: Convert to fraction form
    311,782.70/429,973.18 = 204,313.70/x
  3. Step 3: Cross multiply
    311,782.70x = 429,973.18 × 204,313.70
  4. Step 4: Simplify right side
    311,782.70x = 87,849,411,306.57
  5. Step 5: Solve for x
    x = 87,849,411,306.57/311,782.70
  6. Step 6: Final answer
    x = 281,764.87

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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.