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Finding the Fourth Proportional to 395,356.40, 545,592.14 and 214,068.48

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Solution

The fourth proportional to 395,356.40, 545,592.14 and 214,068.48 is: 295,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,356.40 : 545,592.14 = 214,068.48 : x
  2. Step 2: Convert to fraction form
    395,356.40/545,592.14 = 214,068.48/x
  3. Step 3: Cross multiply
    395,356.40x = 545,592.14 × 214,068.48
  4. Step 4: Simplify right side
    395,356.40x = 116,794,080,109.75
  5. Step 5: Solve for x
    x = 116,794,080,109.75/395,356.40
  6. Step 6: Final answer
    x = 295,414.67

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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.