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Finding the Fourth Proportional to 352,080, 485,871.12 and 201,176.64

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Solution

The fourth proportional to 352,080, 485,871.12 and 201,176.64 is: 277,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,080 : 485,871.12 = 201,176.64 : x
  2. Step 2: Convert to fraction form
    352,080/485,871.12 = 201,176.64/x
  3. Step 3: Cross multiply
    352,080x = 485,871.12 × 201,176.64
  4. Step 4: Simplify right side
    352,080x = 97,745,919,394.64
  5. Step 5: Solve for x
    x = 97,745,919,394.64/352,080
  6. Step 6: Final answer
    x = 277,624.17

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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.