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Finding the Fourth Proportional to 417,243.89, 625,978.17 and 214,729.67

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Solution

The fourth proportional to 417,243.89, 625,978.17 and 214,729.67 is: 322,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,243.89 : 625,978.17 = 214,729.67 : x
  2. Step 2: Convert to fraction form
    417,243.89/625,978.17 = 214,729.67/x
  3. Step 3: Cross multiply
    417,243.89x = 625,978.17 × 214,729.67
  4. Step 4: Simplify right side
    417,243.89x = 134,416,082,741.41
  5. Step 5: Solve for x
    x = 134,416,082,741.41/417,243.89
  6. Step 6: Final answer
    x = 322,152.31

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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.