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Finding the Fourth Proportional to 306,402.84, 422,834.86 and 172,266.84

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Solution

The fourth proportional to 306,402.84, 422,834.86 and 172,266.84 is: 237,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,402.84 : 422,834.86 = 172,266.84 : x
  2. Step 2: Convert to fraction form
    306,402.84/422,834.86 = 172,266.84/x
  3. Step 3: Cross multiply
    306,402.84x = 422,834.86 × 172,266.84
  4. Step 4: Simplify right side
    306,402.84x = 72,840,425,174.04
  5. Step 5: Solve for x
    x = 72,840,425,174.04/306,402.84
  6. Step 6: Final answer
    x = 237,727.64

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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.