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Finding the Fourth Proportional to 471,145.86, 650,174.58 and 256,287.78

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Solution

The fourth proportional to 471,145.86, 650,174.58 and 256,287.78 is: 353,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,145.86 : 650,174.58 = 256,287.78 : x
  2. Step 2: Convert to fraction form
    471,145.86/650,174.58 = 256,287.78/x
  3. Step 3: Cross multiply
    471,145.86x = 650,174.58 × 256,287.78
  4. Step 4: Simplify right side
    471,145.86x = 166,631,799,720.63
  5. Step 5: Solve for x
    x = 166,631,799,720.63/471,145.86
  6. Step 6: Final answer
    x = 353,673.49

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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.