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Finding the Fourth Proportional to 395,311.12, 545,529.70 and 214,023.20

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Solution

The fourth proportional to 395,311.12, 545,529.70 and 214,023.20 is: 295,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,311.12 : 545,529.70 = 214,023.20 : x
  2. Step 2: Convert to fraction form
    395,311.12/545,529.70 = 214,023.20/x
  3. Step 3: Cross multiply
    395,311.12x = 545,529.70 × 214,023.20
  4. Step 4: Simplify right side
    395,311.12x = 116,756,012,089.04
  5. Step 5: Solve for x
    x = 116,756,012,089.04/395,311.12
  6. Step 6: Final answer
    x = 295,352.21

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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.