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Finding the Fourth Proportional to 229,165.80, 343,748.70 and 154,516.20

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Solution

The fourth proportional to 229,165.80, 343,748.70 and 154,516.20 is: 231,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,165.80 : 343,748.70 = 154,516.20 : x
  2. Step 2: Convert to fraction form
    229,165.80/343,748.70 = 154,516.20/x
  3. Step 3: Cross multiply
    229,165.80x = 343,748.70 × 154,516.20
  4. Step 4: Simplify right side
    229,165.80x = 53,114,742,878.94
  5. Step 5: Solve for x
    x = 53,114,742,878.94/229,165.80
  6. Step 6: Final answer
    x = 231,774.30

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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.