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Finding the Fourth Proportional to 317,715.12, 476,469 and 140,214.96

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Solution

The fourth proportional to 317,715.12, 476,469 and 140,214.96 is: 210,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,715.12 : 476,469 = 140,214.96 : x
  2. Step 2: Convert to fraction form
    317,715.12/476,469 = 140,214.96/x
  3. Step 3: Cross multiply
    317,715.12x = 476,469 × 140,214.96
  4. Step 4: Simplify right side
    317,715.12x = 66,808,081,776.24
  5. Step 5: Solve for x
    x = 66,808,081,776.24/317,715.12
  6. Step 6: Final answer
    x = 210,276.68

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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.