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Finding the Fourth Proportional to 229,269.40, 343,904.10 and 213,717.40

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Solution

The fourth proportional to 229,269.40, 343,904.10 and 213,717.40 is: 320,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,269.40 : 343,904.10 = 213,717.40 : x
  2. Step 2: Convert to fraction form
    229,269.40/343,904.10 = 213,717.40/x
  3. Step 3: Cross multiply
    229,269.40x = 343,904.10 × 213,717.40
  4. Step 4: Simplify right side
    229,269.40x = 73,498,290,101.34
  5. Step 5: Solve for x
    x = 73,498,290,101.34/229,269.40
  6. Step 6: Final answer
    x = 320,576.10

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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.