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Finding the Fourth Proportional to 459,387, 633,786.12 and 278,033.04

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Solution

The fourth proportional to 459,387, 633,786.12 and 278,033.04 is: 383,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,387 : 633,786.12 = 278,033.04 : x
  2. Step 2: Convert to fraction form
    459,387/633,786.12 = 278,033.04/x
  3. Step 3: Cross multiply
    459,387x = 633,786.12 × 278,033.04
  4. Step 4: Simplify right side
    459,387x = 176,213,481,653.41
  5. Step 5: Solve for x
    x = 176,213,481,653.41/459,387
  6. Step 6: Final answer
    x = 383,583.95

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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.