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Finding the Fourth Proportional to 228,694.40, 343,421.76 and 154,293.20

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Solution

The fourth proportional to 228,694.40, 343,421.76 and 154,293.20 is: 231,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,694.40 : 343,421.76 = 154,293.20 : x
  2. Step 2: Convert to fraction form
    228,694.40/343,421.76 = 154,293.20/x
  3. Step 3: Cross multiply
    228,694.40x = 343,421.76 × 154,293.20
  4. Step 4: Simplify right side
    228,694.40x = 52,987,642,300.03
  5. Step 5: Solve for x
    x = 52,987,642,300.03/228,694.40
  6. Step 6: Final answer
    x = 231,696.28

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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.