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Finding the Fourth Proportional to 471,004.47, 649,980.05 and 256,139.93

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Solution

The fourth proportional to 471,004.47, 649,980.05 and 256,139.93 is: 353,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,004.47 : 649,980.05 = 256,139.93 : x
  2. Step 2: Convert to fraction form
    471,004.47/649,980.05 = 256,139.93/x
  3. Step 3: Cross multiply
    471,004.47x = 649,980.05 × 256,139.93
  4. Step 4: Simplify right side
    471,004.47x = 166,485,844,508.40
  5. Step 5: Solve for x
    x = 166,485,844,508.40/471,004.47
  6. Step 6: Final answer
    x = 353,469.78

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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.