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Finding the Fourth Proportional to 289,451.77, 399,638.37 and 180,721.64

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Solution

The fourth proportional to 289,451.77, 399,638.37 and 180,721.64 is: 249,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,451.77 : 399,638.37 = 180,721.64 : x
  2. Step 2: Convert to fraction form
    289,451.77/399,638.37 = 180,721.64/x
  3. Step 3: Cross multiply
    289,451.77x = 399,638.37 × 180,721.64
  4. Step 4: Simplify right side
    289,451.77x = 72,223,303,109.70
  5. Step 5: Solve for x
    x = 72,223,303,109.70/289,451.77
  6. Step 6: Final answer
    x = 249,517.58

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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.