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Finding the Fourth Proportional to 471,556.21, 650,747.64 and 256,697.91

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Solution

The fourth proportional to 471,556.21, 650,747.64 and 256,697.91 is: 354,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,556.21 : 650,747.64 = 256,697.91 : x
  2. Step 2: Convert to fraction form
    471,556.21/650,747.64 = 256,697.91/x
  3. Step 3: Cross multiply
    471,556.21x = 650,747.64 × 256,697.91
  4. Step 4: Simplify right side
    471,556.21x = 167,045,559,125.43
  5. Step 5: Solve for x
    x = 167,045,559,125.43/471,556.21
  6. Step 6: Final answer
    x = 354,243.15

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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.