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Finding the Fourth Proportional to 229,720.20, 343,889.10 and 202,072.20

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Solution

The fourth proportional to 229,720.20, 343,889.10 and 202,072.20 is: 302,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,720.20 : 343,889.10 = 202,072.20 : x
  2. Step 2: Convert to fraction form
    229,720.20/343,889.10 = 202,072.20/x
  3. Step 3: Cross multiply
    229,720.20x = 343,889.10 × 202,072.20
  4. Step 4: Simplify right side
    229,720.20x = 69,490,426,993.02
  5. Step 5: Solve for x
    x = 69,490,426,993.02/229,720.20
  6. Step 6: Final answer
    x = 302,500.29

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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.