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Finding the Fourth Proportional to 289,352.84, 399,295.90 and 162,022.04

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Solution

The fourth proportional to 289,352.84, 399,295.90 and 162,022.04 is: 223,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,352.84 : 399,295.90 = 162,022.04 : x
  2. Step 2: Convert to fraction form
    289,352.84/399,295.90 = 162,022.04/x
  3. Step 3: Cross multiply
    289,352.84x = 399,295.90 × 162,022.04
  4. Step 4: Simplify right side
    289,352.84x = 64,694,736,281.64
  5. Step 5: Solve for x
    x = 64,694,736,281.64/289,352.84
  6. Step 6: Final answer
    x = 223,584.25

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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.