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Finding the Fourth Proportional to 395,014.15, 545,115.65 and 213,722.10

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Solution

The fourth proportional to 395,014.15, 545,115.65 and 213,722.10 is: 294,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,014.15 : 545,115.65 = 213,722.10 : x
  2. Step 2: Convert to fraction form
    395,014.15/545,115.65 = 213,722.10/x
  3. Step 3: Cross multiply
    395,014.15x = 545,115.65 × 213,722.10
  4. Step 4: Simplify right side
    395,014.15x = 116,503,262,526.49
  5. Step 5: Solve for x
    x = 116,503,262,526.49/395,014.15
  6. Step 6: Final answer
    x = 294,934.40

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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.