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Finding the Fourth Proportional to 551,969.40, 827,954.10 and 384,007.80

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Solution

The fourth proportional to 551,969.40, 827,954.10 and 384,007.80 is: 576,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,969.40 : 827,954.10 = 384,007.80 : x
  2. Step 2: Convert to fraction form
    551,969.40/827,954.10 = 384,007.80/x
  3. Step 3: Cross multiply
    551,969.40x = 827,954.10 × 384,007.80
  4. Step 4: Simplify right side
    551,969.40x = 317,940,832,441.98
  5. Step 5: Solve for x
    x = 317,940,832,441.98/551,969.40
  6. Step 6: Final answer
    x = 576,011.70

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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.