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Finding the Fourth Proportional to 218,509.20, 327,840.60 and 210,829.20

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Solution

The fourth proportional to 218,509.20, 327,840.60 and 210,829.20 is: 316,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,509.20 : 327,840.60 = 210,829.20 : x
  2. Step 2: Convert to fraction form
    218,509.20/327,840.60 = 210,829.20/x
  3. Step 3: Cross multiply
    218,509.20x = 327,840.60 × 210,829.20
  4. Step 4: Simplify right side
    218,509.20x = 69,118,371,425.52
  5. Step 5: Solve for x
    x = 69,118,371,425.52/218,509.20
  6. Step 6: Final answer
    x = 316,317.90

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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.