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Finding the Fourth Proportional to 313,384.88, 469,037.82 and 285,369.68

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Solution

The fourth proportional to 313,384.88, 469,037.82 and 285,369.68 is: 427,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,384.88 : 469,037.82 = 285,369.68 : x
  2. Step 2: Convert to fraction form
    313,384.88/469,037.82 = 285,369.68/x
  3. Step 3: Cross multiply
    313,384.88x = 469,037.82 × 285,369.68
  4. Step 4: Simplify right side
    313,384.88x = 133,849,172,601.30
  5. Step 5: Solve for x
    x = 133,849,172,601.30/313,384.88
  6. Step 6: Final answer
    x = 427,107.95

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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.