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Finding the Fourth Proportional to 455,284.62, 683,007.12 and 155,694.78

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Solution

The fourth proportional to 455,284.62, 683,007.12 and 155,694.78 is: 233,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,284.62 : 683,007.12 = 155,694.78 : x
  2. Step 2: Convert to fraction form
    455,284.62/683,007.12 = 155,694.78/x
  3. Step 3: Cross multiply
    455,284.62x = 683,007.12 × 155,694.78
  4. Step 4: Simplify right side
    455,284.62x = 106,340,643,286.83
  5. Step 5: Solve for x
    x = 106,340,643,286.83/455,284.62
  6. Step 6: Final answer
    x = 233,569.59

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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.