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Finding the Fourth Proportional to 228,353.10, 342,837.45 and 133,680.30

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Solution

The fourth proportional to 228,353.10, 342,837.45 and 133,680.30 is: 200,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,353.10 : 342,837.45 = 133,680.30 : x
  2. Step 2: Convert to fraction form
    228,353.10/342,837.45 = 133,680.30/x
  3. Step 3: Cross multiply
    228,353.10x = 342,837.45 × 133,680.30
  4. Step 4: Simplify right side
    228,353.10x = 45,830,613,167.24
  5. Step 5: Solve for x
    x = 45,830,613,167.24/228,353.10
  6. Step 6: Final answer
    x = 200,700.64

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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.