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Finding the Fourth Proportional to 309,892.02, 427,652.82 and 172,072.90

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Solution

The fourth proportional to 309,892.02, 427,652.82 and 172,072.90 is: 237,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,892.02 : 427,652.82 = 172,072.90 : x
  2. Step 2: Convert to fraction form
    309,892.02/427,652.82 = 172,072.90/x
  3. Step 3: Cross multiply
    309,892.02x = 427,652.82 × 172,072.90
  4. Step 4: Simplify right side
    309,892.02x = 73,587,460,070.21
  5. Step 5: Solve for x
    x = 73,587,460,070.21/309,892.02
  6. Step 6: Final answer
    x = 237,461.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.