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Finding the Fourth Proportional to 307,958.40, 462,398.40 and 214,876.80

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Solution

The fourth proportional to 307,958.40, 462,398.40 and 214,876.80 is: 322,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,958.40 : 462,398.40 = 214,876.80 : x
  2. Step 2: Convert to fraction form
    307,958.40/462,398.40 = 214,876.80/x
  3. Step 3: Cross multiply
    307,958.40x = 462,398.40 × 214,876.80
  4. Step 4: Simplify right side
    307,958.40x = 99,358,688,517.12
  5. Step 5: Solve for x
    x = 99,358,688,517.12/307,958.40
  6. Step 6: Final answer
    x = 322,636.72

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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.