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Finding the Fourth Proportional to 300,827.10, 415,149.75 and 166,691.10

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Solution

The fourth proportional to 300,827.10, 415,149.75 and 166,691.10 is: 230,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,827.10 : 415,149.75 = 166,691.10 : x
  2. Step 2: Convert to fraction form
    300,827.10/415,149.75 = 166,691.10/x
  3. Step 3: Cross multiply
    300,827.10x = 415,149.75 × 166,691.10
  4. Step 4: Simplify right side
    300,827.10x = 69,201,768,492.23
  5. Step 5: Solve for x
    x = 69,201,768,492.23/300,827.10
  6. Step 6: Final answer
    x = 230,038.35

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