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Finding the Fourth Proportional to 395,977.84, 546,453.48 and 214,690.12

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Solution

The fourth proportional to 395,977.84, 546,453.48 and 214,690.12 is: 296,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,977.84 : 546,453.48 = 214,690.12 : x
  2. Step 2: Convert to fraction form
    395,977.84/546,453.48 = 214,690.12/x
  3. Step 3: Cross multiply
    395,977.84x = 546,453.48 × 214,690.12
  4. Step 4: Simplify right side
    395,977.84x = 117,318,163,195.62
  5. Step 5: Solve for x
    x = 117,318,163,195.62/395,977.84
  6. Step 6: Final answer
    x = 296,274.57

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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.